38274480 has 240 divisors, whose sum is σ = 141017760. Its totient is φ = 9265152.

The previous prime is 38274479. The next prime is 38274499. The reversal of 38274480 is 8447283.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 648691 + ... + 648749.

It is an arithmetic number, because the mean of its divisors is an integer number (587574).

Almost surely, 2^38274480 is an apocalyptic number.

38274480 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 38274480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70508880).

38274480 is an abundant number, since it is smaller than the sum of its proper divisors (102743280).

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

38274480 is a wasteful number, since it uses less digits than its factorization.

38274480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 38274480 is about 6186.6372125736. The cubic root of 38274480 is about 337.0050687953.

The spelling of 38274480 in words is "thirty-eight million, two hundred seventy-four thousand, four hundred eighty".