37642743 has 48 divisors (see below), whose sum is σ = 63348480. Its totient is φ = 21364992.

The previous prime is 37642699. The next prime is 37642747. The reversal of 37642743 is 34724673.

37642743 = 47² + 48² + ... + 483².

It is a happy number.

37642743 is a `hidden beast` number, since 3 + 7 + 642 + 7 + 4 + 3 = 666.

It is not a de Polignac number, because 37642743 - 2¹⁶ = 37577207 is a prime.

It is a super-2 number, since 2×37642743² = 2833952201128098, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 37642698 and 37642707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37642747) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66580 + ... + 67142.

It is an arithmetic number, because the mean of its divisors is an integer number (1319760).

Almost surely, 2^37642743 is an apocalyptic number.

37642743 is a deficient number, since it is larger than the sum of its proper divisors (25705737).

37642743 is a wasteful number, since it uses less digits than its factorization.

37642743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 625 counting only the distinct ones).

The product of its digits is 84672, while the sum is 36.

The square root of 37642743 is about 6135.3682041097. The cubic root of 37642743 is about 335.1406344999.

The spelling of 37642743 in words is "thirty-seven million, six hundred forty-two thousand, seven hundred forty-three".