37418291820 has 1152 divisors, whose sum is σ = 157116610560. Its totient is φ = 7255941120.

The previous prime is 37418291809. The next prime is 37418291821. The reversal of 37418291820 is 2819281473.

It is a happy number.

37418291820 is a `hidden beast` number, since 37 + 418 + 29 + 182 + 0 = 666.

37418291820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (37418291821) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 512579304 + ... + 512579376.

Almost surely, 2^37418291820 is an apocalyptic number.

37418291820 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 37418291820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78558305280).

37418291820 is an abundant number, since it is smaller than the sum of its proper divisors (119698318740).

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

37418291820 is a wasteful number, since it uses less digits than its factorization.

37418291820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 37418291820 in words is "thirty-seven billion, four hundred eighteen million, two hundred ninety-one thousand, eight hundred twenty".