37536480 has 96 divisors (see below), whose sum is σ = 131392800. Its totient is φ = 10008576.

The previous prime is 37536467. The next prime is 37536491. The reversal of 37536480 is 8463573.

It is a happy number.

37536480 is a `hidden beast` number, since 3 + 7 + 5 + 3 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25 + ... + 8664.

It is an arithmetic number, because the mean of its divisors is an integer number (1368675).

Almost surely, 2^37536480 is an apocalyptic number.

37536480 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 37536480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65696400).

37536480 is an abundant number, since it is smaller than the sum of its proper divisors (93856320).

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

37536480 is a wasteful number, since it uses less digits than its factorization.

37536480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8713 (or 8699 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 37536480 is about 6126.7022124468. The cubic root of 37536480 is about 334.8249772607.

The spelling of 37536480 in words is "thirty-seven million, five hundred thirty-six thousand, four hundred eighty".