38955840 has 448 divisors, whose sum is σ = 168542208. Its totient is φ = 7372800.

The previous prime is 38955827. The next prime is 38955869. The reversal of 38955840 is 4855983.

38955840 = T₂₁ + T₂₂ + ... + T₆₁₅.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 38955792 and 38955801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1256625 + ... + 1256655.

Almost surely, 2^38955840 is an apocalyptic number.

38955840 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 38955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84271104).

38955840 is an abundant number, since it is smaller than the sum of its proper divisors (129586368).

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

38955840 is a wasteful number, since it uses less digits than its factorization.

38955840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 38955840 is about 6241.4613673402. The cubic root of 38955840 is about 338.9930994671.

The spelling of 38955840 in words is "thirty-eight million, nine hundred fifty-five thousand, eight hundred forty".