3486737146400 has 72 divisors (see below), whose sum is σ = 8579020907520. Its totient is φ = 1383712968960.

The previous prime is 3486737146381. The next prime is 3486737146421. The reversal of 3486737146400 is 46417376843.

It is a happy 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 11 ways as a sum of consecutive naturals, for example, 17057540 + ... + 17260739.

It is an arithmetic number, because the mean of its divisors is an integer number (119153068160).

Almost surely, 2^{3486737146400} is an apocalyptic number.

It is an amenable number.

3486737146400 is an abundant number, since it is smaller than the sum of its proper divisors (5092283761120).

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

3486737146400 is a wasteful number, since it uses less digits than its factorization.

3486737146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34318426 (or 34318413 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 53.

The spelling of 3486737146400 in words is "three trillion, four hundred eighty-six billion, seven hundred thirty-seven million, one hundred forty-six thousand, four hundred".