37350040 has 128 divisors (see below), whose sum is σ = 107089920. Its totient is φ = 11404800.

The previous prime is 37350023. The next prime is 37350041. The reversal of 37350040 is 4005373.

37350040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×37350040³ (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 37349993 and 37350020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37350041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112675 + ... + 113005.

It is an arithmetic number, because the mean of its divisors is an integer number (836640).

Almost surely, 2^37350040 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 37350040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53544960).

37350040 is an abundant number, since it is smaller than the sum of its proper divisors (69739880).

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

37350040 is a wasteful number, since it uses less digits than its factorization.

37350040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 22.

The square root of 37350040 is about 6111.4679087761. The cubic root of 37350040 is about 334.2697093590.

The spelling of 37350040 in words is "thirty-seven million, three hundred fifty thousand, forty".