37764012 has 96 divisors (see below), whose sum is σ = 105557760. Its totient is φ = 10356480.

The previous prime is 37764011. The next prime is 37764029. The reversal of 37764012 is 21046773.

It is a super-2 number, since 2×37764012² = 2852241204672288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (37764011) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 101058 + ... + 101430.

It is an arithmetic number, because the mean of its divisors is an integer number (1099560).

Almost surely, 2^37764012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37764012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52778880).

37764012 is an abundant number, since it is smaller than the sum of its proper divisors (67793748).

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

37764012 is a wasteful number, since it uses less digits than its factorization.

37764012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 37764012 is about 6145.2430383183. The cubic root of 37764012 is about 335.5001425162.

The spelling of 37764012 in words is "thirty-seven million, seven hundred sixty-four thousand, twelve".