346040741700 has 108 divisors (see below), whose sum is σ = 1089146766708. Its totient is φ = 91894579200.

The previous prime is 346040741677. The next prime is 346040741771. The reversal of 346040741700 is 7147040643.

It is a happy number.

346040741700 is a `hidden beast` number, since 3 + 4 + 604 + 0 + 7 + 41 + 7 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 21229655616 + 324811086084 = 145704^2 + 569922^2 .

It is a super-2 number, since 2×346040741700² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 580797 + ... + 1014596.

Almost surely, 2^346040741700 is an apocalyptic number.

346040741700 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

346040741700 is an abundant number, since it is smaller than the sum of its proper divisors (743106025008).

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

346040741700 is a wasteful number, since it uses less digits than its factorization.

346040741700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595654 (or 1595644 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 346040741700 in words is "three hundred forty-six billion, forty million, seven hundred forty-one thousand, seven hundred".