39246966000 has 480 divisors, whose sum is σ = 150219313920. Its totient is φ = 9471168000.

The previous prime is 39246965987. The next prime is 39246966019. The reversal of 39246966000 is 66964293.

39246966000 is a `hidden beast` number, since 39 + 2 + 4 + 6 + 9 + 6 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75041739 + ... + 75042261.

It is an arithmetic number, because the mean of its divisors is an integer number (312956904).

Almost surely, 2^39246966000 is an apocalyptic number.

39246966000 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 39246966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75109656960).

39246966000 is an abundant number, since it is smaller than the sum of its proper divisors (110972347920).

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

39246966000 is a wasteful number, since it uses less digits than its factorization.

39246966000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 39246966000 in words is "thirty-nine billion, two hundred forty-six million, nine hundred sixty-six thousand".