34964942400 has 252 divisors, whose sum is σ = 124730348964. Its totient is φ = 9289728000.

The previous prime is 34964942381. The next prime is 34964942429. The reversal of 34964942400 is 424946943.

34964942400 is a `hidden beast` number, since 34 + 96 + 494 + 2 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4362338304 + 30602604096 = 66048^2 + 174936^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4042080 + ... + 4050720.

Almost surely, 2^34964942400 is an apocalyptic number.

34964942400 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 34964942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62365174482).

34964942400 is an abundant number, since it is smaller than the sum of its proper divisors (89765406564).

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

34964942400 is a wasteful number, since it uses less digits than its factorization.

34964942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8950 (or 8932 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 34964942400 in words is "thirty-four billion, nine hundred sixty-four million, nine hundred forty-two thousand, four hundred".