34681262400 has 1344 divisors, whose sum is σ = 145133568000. Its totient is φ = 8012390400.

The previous prime is 34681262323. The next prime is 34681262401. The reversal of 34681262400 is 426218643.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34681262401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 737899177 + ... + 737899223.

Almost surely, 2^34681262400 is an apocalyptic number.

34681262400 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 34681262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72566784000).

34681262400 is an abundant number, since it is smaller than the sum of its proper divisors (110452305600).

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

34681262400 is a wasteful number, since it uses less digits than its factorization.

34681262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 34681262400 in words is "thirty-four billion, six hundred eighty-one million, two hundred sixty-two thousand, four hundred".