349091402400 has 1080 divisors, whose sum is σ = 1394919719424. Its totient is φ = 84913920000.

The previous prime is 349091402383. The next prime is 349091402417. The reversal of 349091402400 is 4204190943.

349091402400 is a `hidden beast` number, since 3 + 490 + 9 + 140 + 24 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (349091402383) and next prime (349091402417).

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1390802275 + ... + 1390802525.

Almost surely, 2^349091402400 is an apocalyptic number.

349091402400 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 349091402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697459859712).

349091402400 is an abundant number, since it is smaller than the sum of its proper divisors (1045828317024).

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

349091402400 is a wasteful number, since it uses less digits than its factorization.

349091402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 349091402400 in words is "three hundred forty-nine billion, ninety-one million, four hundred two thousand, four hundred".