37964001 has 8 divisors (see below), whose sum is σ = 50821344. Its totient is φ = 25208000.

The previous prime is 37963979. The next prime is 37964011. The reversal of 37964001 is 10046973.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 37964001 - 2⁹ = 37963489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 37964001.

It is not an unprimeable number, because it can be changed into a prime (37964011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24456 + ... + 25961.

It is an arithmetic number, because the mean of its divisors is an integer number (6352668).

Almost surely, 2^37964001 is an apocalyptic number.

It is an amenable number.

37964001 is a deficient number, since it is larger than the sum of its proper divisors (12857343).

37964001 is a wasteful number, since it uses less digits than its factorization.

37964001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50671.

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 37964001 is about 6161.4934066345. The cubic root of 37964001 is about 336.0913424422.

The spelling of 37964001 in words is "thirty-seven million, nine hundred sixty-four thousand, one".