347135090400 has 2160 divisors, whose sum is σ = 1600217110800. Its totient is φ = 72738570240.

The previous prime is 347135090381. The next prime is 347135090413. The reversal of 347135090400 is 4090531743.

347135090400 is a `hidden beast` number, since 34 + 7 + 135 + 0 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

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 359 ways as a sum of consecutive naturals, for example, 3184725546 + ... + 3184725654.

It is an arithmetic number, because the mean of its divisors is an integer number (740841255).

Almost surely, 2^347135090400 is an apocalyptic number.

347135090400 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 347135090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800108555400).

347135090400 is an abundant number, since it is smaller than the sum of its proper divisors (1253082020400).

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

347135090400 is a wasteful number, since it uses less digits than its factorization.

347135090400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 347135090400 in words is "three hundred forty-seven billion, one hundred thirty-five million, ninety thousand, four hundred".