3726940590 has 144 divisors (see below), whose sum is σ = 10266682608. Its totient is φ = 937440000.

The previous prime is 3726940571. The next prime is 3726940601. The reversal of 3726940590 is 950496273.

It is a happy number.

3726940590 is a `hidden beast` number, since 37 + 26 + 9 + 4 + 0 + 590 = 666.

It is a super-2 number, since 2×3726940590² = 27780172322779096200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3545565 + ... + 3546615.

It is an arithmetic number, because the mean of its divisors is an integer number (71296407).

Almost surely, 2^3726940590 is an apocalyptic number.

3726940590 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3726940590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5133341304).

3726940590 is an abundant number, since it is smaller than the sum of its proper divisors (6539742018).

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

3726940590 is a wasteful number, since it uses less digits than its factorization.

3726940590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3726940590 is about 61048.6739413724. The cubic root of 3726940590 is about 1550.4252166716.

The spelling of 3726940590 in words is "three billion, seven hundred twenty-six million, nine hundred forty thousand, five hundred ninety".