349642804800 has 84 divisors (see below), whose sum is σ = 1147119784496. Its totient is φ = 93238080000.

The previous prime is 349642804759. The next prime is 349642804801. The reversal of 349642804800 is 8408246943.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 349642804800.

It is not an unprimeable number, because it can be changed into a prime (349642804801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36416326 + ... + 36425925.

Almost surely, 2^349642804800 is an apocalyptic number.

349642804800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349642804800 is an abundant number, since it is smaller than the sum of its proper divisors (797476979696).

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

349642804800 is a wasteful number, since it uses less digits than its factorization.

349642804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72842276 (or 72842261 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 349642804800 in words is "three hundred forty-nine billion, six hundred forty-two million, eight hundred four thousand, eight hundred".