39749664 has 48 divisors (see below), whose sum is σ = 106898400. Its totient is φ = 12925440.

The previous prime is 39749659. The next prime is 39749683. The reversal of 39749664 is 46694793.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×39749664² = 3160071576225792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1114 + ... + 8985.

It is an arithmetic number, because the mean of its divisors is an integer number (2227050).

Almost surely, 2^39749664 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 39749664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53449200).

39749664 is an abundant number, since it is smaller than the sum of its proper divisors (67148736).

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

39749664 is a wasteful number, since it uses less digits than its factorization.

39749664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10153 (or 10145 counting only the distinct ones).

The product of its digits is 979776, while the sum is 48.

The square root of 39749664 is about 6304.7334598697. The cubic root of 39749664 is about 341.2802482278.

The spelling of 39749664 in words is "thirty-nine million, seven hundred forty-nine thousand, six hundred sixty-four".