34025918400 has 336 divisors, whose sum is σ = 124346208000. Its totient is φ = 9050987520.

The previous prime is 34025918393. The next prime is 34025918419. The reversal of 34025918400 is 481952043.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 24320901 + ... + 24322299.

It is an arithmetic number, because the mean of its divisors is an integer number (370078000).

Almost surely, 2^34025918400 is an apocalyptic number.

34025918400 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 34025918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62173104000).

34025918400 is an abundant number, since it is smaller than the sum of its proper divisors (90320289600).

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

34025918400 is a wasteful number, since it uses less digits than its factorization.

34025918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 34025918400 in words is "thirty-four billion, twenty-five million, nine hundred eighteen thousand, four hundred".