37652540040 has 128 divisors (see below), whose sum is σ = 125556624000. Its totient is φ = 10036825344.

The previous prime is 37652539973. The next prime is 37652540041. The reversal of 37652540040 is 4004525673.

37652540040 is a `hidden beast` number, since 3 + 76 + 5 + 2 + 540 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 37652539977 and 37652540004.

It is not an unprimeable number, because it can be changed into a prime (37652540041) 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, 3825846 + ... + 3835674.

It is an arithmetic number, because the mean of its divisors is an integer number (980911125).

Almost surely, 2^37652540040 is an apocalyptic number.

37652540040 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 37652540040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62778312000).

37652540040 is an abundant number, since it is smaller than the sum of its proper divisors (87904083960).

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

37652540040 is a wasteful number, since it uses less digits than its factorization.

37652540040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13396 (or 13386 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 37652540040 in words is "thirty-seven billion, six hundred fifty-two million, five hundred forty thousand, forty".