37986480 has 120 divisors (see below), whose sum is σ = 145815072. Its totient is φ = 8681472.

The previous prime is 37986479. The next prime is 37986493. The reversal of 37986480 is 8468973.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1272 + ... + 8808.

Almost surely, 2^37986480 is an apocalyptic number.

37986480 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 37986480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72907536).

37986480 is an abundant number, since it is smaller than the sum of its proper divisors (107828592).

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

37986480 is a wasteful number, since it uses less digits than its factorization.

37986480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7563 (or 7554 counting only the distinct ones).

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

The square root of 37986480 is about 6163.3172886036. The cubic root of 37986480 is about 336.1576641016.

The spelling of 37986480 in words is "thirty-seven million, nine hundred eighty-six thousand, four hundred eighty".