34490902118400 has 4320 divisors, whose sum is σ = 169956575989200. Its totient is φ = 6849130659840.

The previous prime is 34490902118369. The next prime is 34490902118401. The reversal of 34490902118400 is 481120909443.

34490902118400 is a `hidden beast` number, since 3 + 4 + 49 + 0 + 90 + 2 + 118 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34490902118401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2028876595192 + ... + 2028876595208.

Almost surely, 2^{34490902118400} is an apocalyptic number.

34490902118400 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 34490902118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84978287994600).

34490902118400 is an abundant number, since it is smaller than the sum of its proper divisors (135465673870800).

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

34490902118400 is an frugal number, since it uses more digits than its factorization.

34490902118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 34490902118400 in words is "thirty-four trillion, four hundred ninety billion, nine hundred two million, one hundred eighteen thousand, four hundred".