37968480 has 384 divisors, whose sum is σ = 156764160. Its totient is φ = 8478720.

The previous prime is 37968467. The next prime is 37968487. The reversal of 37968480 is 8486973.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37968487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 807817 + ... + 807863.

It is an arithmetic number, because the mean of its divisors is an integer number (408240).

Almost surely, 2^37968480 is an apocalyptic number.

37968480 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 37968480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78382080).

37968480 is an abundant number, since it is smaller than the sum of its proper divisors (118795680).

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

37968480 is a wasteful number, since it uses less digits than its factorization.

37968480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 37968480 is about 6161.8568629919. The cubic root of 37968480 is about 336.1045592957.

The spelling of 37968480 in words is "thirty-seven million, nine hundred sixty-eight thousand, four hundred eighty".