34042713600 has 480 divisors, whose sum is σ = 130058818560. Its totient is φ = 7688355840.

The previous prime is 34042713587. The next prime is 34042713613. The reversal of 34042713600 is 631724043.

It is an interprime number because it is at equal distance from previous prime (34042713587) and next prime (34042713613).

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 (30).

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, 23922489 + ... + 23923911.

It is an arithmetic number, because the mean of its divisors is an integer number (270955872).

Almost surely, 2^34042713600 is an apocalyptic number.

34042713600 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 34042713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65029409280).

34042713600 is an abundant number, since it is smaller than the sum of its proper divisors (96016104960).

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

34042713600 is a wasteful number, since it uses less digits than its factorization.

34042713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 34042713600 in words is "thirty-four billion, forty-two million, seven hundred thirteen thousand, six hundred".