34989926400 has 1440 divisors, whose sum is σ = 154832277600. Its totient is φ = 7697203200.

The previous prime is 34989926357. The next prime is 34989926431. The reversal of 34989926400 is 462998943.

34989926400 is a `hidden beast` number, since 3 + 498 + 9 + 92 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-5 number, since 5×34989926400⁵ (a number of 54 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 593049571 + ... + 593049629.

It is an arithmetic number, because the mean of its divisors is an integer number (107522415).

Almost surely, 2^34989926400 is an apocalyptic number.

34989926400 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 34989926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77416138800).

34989926400 is an abundant number, since it is smaller than the sum of its proper divisors (119842351200).

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

34989926400 is a wasteful number, since it uses less digits than its factorization.

34989926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 34989926400 in words is "thirty-four billion, nine hundred eighty-nine million, nine hundred twenty-six thousand, four hundred".