3455090100 has 288 divisors, whose sum is σ = 13849113600. Its totient is φ = 717897600.

The previous prime is 3455090099. The next prime is 3455090123. The reversal of 3455090100 is 10905543.

3455090100 is a `hidden beast` number, since 3 + 4 + 550 + 9 + 0 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 199591 + ... + 216209.

It is an arithmetic number, because the mean of its divisors is an integer number (48087200).

Almost surely, 2^3455090100 is an apocalyptic number.

3455090100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3455090100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6924556800).

3455090100 is an abundant number, since it is smaller than the sum of its proper divisors (10394023500).

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

3455090100 is a wasteful number, since it uses less digits than its factorization.

3455090100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16660 (or 16647 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 3455090100 is about 58780.0144606991. The cubic root of 3455090100 is about 1511.7725627920.

Adding to 3455090100 its reverse (10905543), we get a palindrome (3465995643).

The spelling of 3455090100 in words is "three billion, four hundred fifty-five million, ninety thousand, one hundred".