38390964 has 48 divisors (see below), whose sum is σ = 95312448. Its totient is φ = 11985408.

The previous prime is 38390953. The next prime is 38390969. The reversal of 38390964 is 46909383.

38390964 = T₁ + T₂ + ... + T₆₁₂.

38390964 is a nontrivial binomial coefficient, being equal to C(614, 3).

It is a super-2 number, since 2×38390964² = 2947732233698592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38390969) by changing a digit.

It is the 612-nd tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62322 + ... + 62934.

It is an arithmetic number, because the mean of its divisors is an integer number (1985676).

Almost surely, 2^38390964 is an apocalyptic number.

38390964 is a gapful number since it is divisible by the number (34) 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 38390964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47656224).

38390964 is an abundant number, since it is smaller than the sum of its proper divisors (56921484).

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

38390964 is a wasteful number, since it uses less digits than its factorization.

38390964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 38390964 is about 6196.0442219210. The cubic root of 38390964 is about 337.3466013449.

The spelling of 38390964 in words is "thirty-eight million, three hundred ninety thousand, nine hundred sixty-four".