38292480 has 176 divisors, whose sum is σ = 136575840. Its totient is φ = 10174464.

The previous prime is 38292473. The next prime is 38292503. The reversal of 38292480 is 8429283.

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

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, 138102 + ... + 138378.

Almost surely, 2^38292480 is an apocalyptic number.

38292480 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 38292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68287920).

38292480 is an abundant number, since it is smaller than the sum of its proper divisors (98283360).

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

38292480 is a wasteful number, since it uses less digits than its factorization.

38292480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 38292480 is about 6188.0917898816. The cubic root of 38292480 is about 337.0578902449.

The spelling of 38292480 in words is "thirty-eight million, two hundred ninety-two thousand, four hundred eighty".