349367642640 has 320 divisors, whose sum is σ = 1245668843520. Its totient is φ = 89930373120.

The previous prime is 349367642627. The next prime is 349367642759. The reversal of 349367642640 is 46246763943.

349367642640 is a `hidden beast` number, since 3 + 493 + 6 + 76 + 42 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 10132630 + ... + 10167050.

It is an arithmetic number, because the mean of its divisors is an integer number (3892715136).

Almost surely, 2^349367642640 is an apocalyptic number.

349367642640 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 349367642640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622834421760).

349367642640 is an abundant number, since it is smaller than the sum of its proper divisors (896301200880).

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

349367642640 is a wasteful number, since it uses less digits than its factorization.

349367642640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34607 (or 34595 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

The spelling of 349367642640 in words is "three hundred forty-nine billion, three hundred sixty-seven million, six hundred forty-two thousand, six hundred forty".