354870404100 has 135 divisors (see below), whose sum is σ = 1150523475717. Its totient is φ = 94617810720.

The previous prime is 354870404093. The next prime is 354870404107. The reversal of 354870404100 is 1404078453.

The square root of 354870404100 is 595710.

It is a perfect power (a square), and thus also a powerful number.

354870404100 is a `hidden beast` number, since 3 + 548 + 7 + 0 + 4 + 0 + 4 + 100 = 666.

It is an interprime number because it is at equal distance from previous prime (354870404093) and next prime (354870404107).

It can be written as a sum of positive squares in only one way, i.e., 127753345476 + 227117058624 = 357426^2 + 476568^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (354870404107) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 53610591 + ... + 53617209.

Almost surely, 2^354870404100 is an apocalyptic number.

354870404100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

354870404100 is the 595710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354870404100

354870404100 is an abundant number, since it is smaller than the sum of its proper divisors (795653071617).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

354870404100 is an frugal number, since it uses more digits than its factorization.

354870404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13264 (or 6629 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Multiplying 354870404100 by its sum of digits (36), we get a square (12775334547600 = 3574260²).

354870404100 divided by its sum of digits (36) gives a square (9857511225 = 99285²).

The spelling of 354870404100 in words is "three hundred fifty-four billion, eight hundred seventy million, four hundred four thousand, one hundred".