349438674407004 has 288 divisors, whose sum is σ = 1153371310407680. Its totient is φ = 86621666955264.

The previous prime is 349438674406957. The next prime is 349438674407021. The reversal of 349438674407004 is 400704476834943.

349438674407004 is a `hidden beast` number, since 3 + 4 + 9 + 43 + 86 + 7 + 440 + 70 + 0 + 4 = 666.

It is a super-2 number, since 2×349438674407004² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14197429 + ... + 30007404.

Almost surely, 2^{349438674407004} is an apocalyptic number.

It is an amenable number.

349438674407004 is an abundant number, since it is smaller than the sum of its proper divisors (803932636000676).

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

349438674407004 is a wasteful number, since it uses less digits than its factorization.

349438674407004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44205009 (or 44205004 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 63.

The spelling of 349438674407004 in words is "three hundred forty-nine trillion, four hundred thirty-eight billion, six hundred seventy-four million, four hundred seven thousand, four".