349687905840 has 960 divisors, whose sum is σ = 1534101144576. Its totient is φ = 72048807936.

The previous prime is 349687905811. The next prime is 349687905851. The reversal of 349687905840 is 48509786943.

349687905840 is a `hidden beast` number, since 3 + 49 + 6 + 8 + 7 + 9 + 0 + 584 + 0 = 666.

It is a super-2 number, since 2×349687905840² (a number of 24 digits) contains 22 as substring.

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

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 191 ways as a sum of consecutive naturals, for example, 76066422 + ... + 76071018.

Almost surely, 2^349687905840 is an apocalyptic number.

349687905840 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 349687905840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767050572288).

349687905840 is an abundant number, since it is smaller than the sum of its proper divisors (1184413238736).

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

349687905840 is a wasteful number, since it uses less digits than its factorization.

349687905840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4688 (or 4670 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 349687905840 in words is "three hundred forty-nine billion, six hundred eighty-seven million, nine hundred five thousand, eight hundred forty".