38015672 has 64 divisors (see below), whose sum is σ = 79626240. Its totient is φ = 16934400.

The previous prime is 38015657. The next prime is 38015729. The reversal of 38015672 is 27651083.

It is a happy number.

It is a super-3 number, since 3×38015672³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299273 + ... + 299399.

It is an arithmetic number, because the mean of its divisors is an integer number (1244160).

Almost surely, 2^38015672 is an apocalyptic number.

It is an amenable number.

38015672 is an abundant number, since it is smaller than the sum of its proper divisors (41610568).

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

38015672 is a wasteful number, since it uses less digits than its factorization.

38015672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 38015672 is about 6165.6850389880. The cubic root of 38015672 is about 336.2437526421.

The spelling of 38015672 in words is "thirty-eight million, fifteen thousand, six hundred seventy-two".