38962800 has 180 divisors, whose sum is σ = 137922720. Its totient is φ = 10183680.

The previous prime is 38962799. The next prime is 38962811. The reversal of 38962800 is 826983.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 284332 + ... + 284468.

Almost surely, 2^38962800 is an apocalyptic number.

38962800 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 38962800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68961360).

38962800 is an abundant number, since it is smaller than the sum of its proper divisors (98959920).

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

38962800 is a wasteful number, since it uses less digits than its factorization.

38962800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 38962800 is about 6242.0189041687. The cubic root of 38962800 is about 339.0132868680.

The spelling of 38962800 in words is "thirty-eight million, nine hundred sixty-two thousand, eight hundred".