37952640 has 192 divisors, whose sum is σ = 143208000. Its totient is φ = 9185280.

The previous prime is 37952609. The next prime is 37952659. The reversal of 37952640 is 4625973.

37952640 is a `hidden beast` number, since 3 + 7 + 9 + 5 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 37952595 and 37952604.

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, 63061 + ... + 63659.

It is an arithmetic number, because the mean of its divisors is an integer number (745875).

Almost surely, 2^37952640 is an apocalyptic number.

37952640 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 37952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71604000).

37952640 is an abundant number, since it is smaller than the sum of its proper divisors (105255360).

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

37952640 is a wasteful number, since it uses less digits than its factorization.

37952640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 37952640 is about 6160.5714020698. The cubic root of 37952640 is about 336.0578131812.

The spelling of 37952640 in words is "thirty-seven million, nine hundred fifty-two thousand, six hundred forty".