37978434 has 48 divisors (see below), whose sum is σ = 89489400. Its totient is φ = 11570688.

The previous prime is 37978433. The next prime is 37978439. The reversal of 37978434 is 43487973.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24472809 + 13505625 = 4947^2 + 3675^2 .

It is a super-2 number, since 2×37978434² = 2884722898184712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 37978434.

It is not an unprimeable number, because it can be changed into a prime (37978433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24762 + ... + 26250.

Almost surely, 2^37978434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37978434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44744700).

37978434 is an abundant number, since it is smaller than the sum of its proper divisors (51510966).

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

37978434 is a wasteful number, since it uses less digits than its factorization.

37978434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1616 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 37978434 is about 6162.6645211305. The cubic root of 37978434 is about 336.1339283273.

The spelling of 37978434 in words is "thirty-seven million, nine hundred seventy-eight thousand, four hundred thirty-four".