34879766400 has 480 divisors, whose sum is σ = 131194225800. Its totient is φ = 9122181120.

The previous prime is 34879766399. The next prime is 34879766407. The reversal of 34879766400 is 466797843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34879766407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13736331 + ... + 13738869.

Almost surely, 2^34879766400 is an apocalyptic number.

34879766400 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 34879766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65597112900).

34879766400 is an abundant number, since it is smaller than the sum of its proper divisors (96314459400).

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

34879766400 is a wasteful number, since it uses less digits than its factorization.

34879766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 34879766400 in words is "thirty-four billion, eight hundred seventy-nine million, seven hundred sixty-six thousand, four hundred".