34115452000 has 384 divisors, whose sum is σ = 98839802880. Its totient is φ = 11331993600.

The previous prime is 34115451977. The next prime is 34115452051. The reversal of 34115452000 is 25451143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 176763904 + ... + 176764096.

It is an arithmetic number, because the mean of its divisors is an integer number (257395320).

Almost surely, 2^34115452000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34115452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49419901440).

34115452000 is an abundant number, since it is smaller than the sum of its proper divisors (64724350880).

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

34115452000 is a wasteful number, since it uses less digits than its factorization.

34115452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 34115452000 in words is "thirty-four billion, one hundred fifteen million, four hundred fifty-two thousand".