34059690000 has 500 divisors, whose sum is σ = 140804977984. Its totient is φ = 7783776000.

The previous prime is 34059689971. The next prime is 34059690029. The reversal of 34059690000 is 9695043.

It is an interprime number because it is at equal distance from previous prime (34059689971) and next prime (34059690029).

It is a tau number, because it is divible by the number of its divisors (500).

It is a super-2 number, since 2×34059690000² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 5666997 + ... + 5673003.

Almost surely, 2^34059690000 is an apocalyptic number.

34059690000 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 34059690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70402488992).

34059690000 is an abundant number, since it is smaller than the sum of its proper divisors (106745287984).

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

34059690000 is an equidigital number, since it uses as much as digits as its factorization.

34059690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6054 (or 6024 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 34059690000 in words is "thirty-four billion, fifty-nine million, six hundred ninety thousand".