37145606400 has 1296 divisors, whose sum is σ = 163828889280. Its totient is φ = 8205926400.

The previous prime is 37145606389. The next prime is 37145606401. The reversal of 37145606400 is 460654173.

It is a happy number.

37145606400 is a `hidden beast` number, since 3 + 7 + 1 + 4 + 5 + 6 + 0 + 640 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (37145606401) 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 143 ways as a sum of consecutive naturals, for example, 347155147 + ... + 347155253.

It is an arithmetic number, because the mean of its divisors is an integer number (126411180).

Almost surely, 2^37145606400 is an apocalyptic number.

37145606400 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 37145606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81914444640).

37145606400 is an abundant number, since it is smaller than the sum of its proper divisors (126683282880).

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

37145606400 is a wasteful number, since it uses less digits than its factorization.

37145606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

It can be divided in two parts, 37145 and 606400, that added together give a triangular number (643545 = T₁₁₃₄).

The spelling of 37145606400 in words is "thirty-seven billion, one hundred forty-five million, six hundred six thousand, four hundred".