38737920 has 192 divisors, whose sum is σ = 134840160. Its totient is φ = 9437184.

The previous prime is 38737901. The next prime is 38737931. The reversal of 38737920 is 2973783.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 399312 + ... + 399408.

Almost surely, 2^38737920 is an apocalyptic number.

38737920 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 38737920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67420080).

38737920 is an abundant number, since it is smaller than the sum of its proper divisors (96102240).

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

38737920 is a wasteful number, since it uses less digits than its factorization.

38737920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 38737920 is about 6223.9794344133. The cubic root of 38737920 is about 338.3598049828.

The spelling of 38737920 in words is "thirty-eight million, seven hundred thirty-seven thousand, nine hundred twenty".