34612640400 has 240 divisors, whose sum is σ = 120214180800. Its totient is φ = 8462284800.

The previous prime is 34612640393. The next prime is 34612640417. The reversal of 34612640400 is 404621643.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2316955 + ... + 2331845.

It is an arithmetic number, because the mean of its divisors is an integer number (500892420).

Almost surely, 2^34612640400 is an apocalyptic number.

34612640400 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 34612640400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60107090400).

34612640400 is an abundant number, since it is smaller than the sum of its proper divisors (85601540400).

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

34612640400 is a wasteful number, since it uses less digits than its factorization.

34612640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15074 (or 15063 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 34612640400 in words is "thirty-four billion, six hundred twelve million, six hundred forty thousand, four hundred".