38518480 has 240 divisors, whose sum is σ = 124170624. Its totient is φ = 10782720.

The previous prime is 38518477. The next prime is 38518483. The reversal of 38518480 is 8481583.

38518480 = T₁₀₅₆ + T₁₀₅₇ + ... + T₁₁₂₀.

It is an interprime number because it is at equal distance from previous prime (38518477) and next prime (38518483).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38518483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1041022 + ... + 1041058.

Almost surely, 2^38518480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38518480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62085312).

38518480 is an abundant number, since it is smaller than the sum of its proper divisors (85652144).

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

38518480 is a wasteful number, since it uses less digits than its factorization.

38518480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 38518480 is about 6206.3258051765. The cubic root of 38518480 is about 337.7196887001.

The spelling of 38518480 in words is "thirty-eight million, five hundred eighteen thousand, four hundred eighty".