37482480 has 320 divisors, whose sum is σ = 153799680. Its totient is φ = 8211456.

The previous prime is 37482469. The next prime is 37482481. The reversal of 37482480 is 8428473.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37482481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 559407 + ... + 559473.

It is an arithmetic number, because the mean of its divisors is an integer number (480624).

Almost surely, 2^37482480 is an apocalyptic number.

37482480 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 37482480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76899840).

37482480 is an abundant number, since it is smaller than the sum of its proper divisors (116317200).

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

37482480 is a wasteful number, since it uses less digits than its factorization.

37482480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 121 counting only the distinct ones).

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

The square root of 37482480 is about 6122.2936878265. The cubic root of 37482480 is about 334.6643404088.

The spelling of 37482480 in words is "thirty-seven million, four hundred eighty-two thousand, four hundred eighty".