3726508032 has 288 divisors, whose sum is σ = 12037606560. Its totient is φ = 1146617856.

The previous prime is 3726508013. The next prime is 3726508039. The reversal of 3726508032 is 2308056273.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3726508032² = 27773724225121026048, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3726508039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286654458 + ... + 286654470.

It is an arithmetic number, because the mean of its divisors is an integer number (41797245).

Almost surely, 2^3726508032 is an apocalyptic number.

3726508032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

3726508032 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3726508032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6018803280).

3726508032 is an abundant number, since it is smaller than the sum of its proper divisors (8311098528).

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

3726508032 is an frugal number, since it uses more digits than its factorization.

3726508032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 18 counting only the distinct ones).

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

The square root of 3726508032 is about 61045.1311080581. The cubic root of 3726508032 is about 1550.3652322811.

The spelling of 3726508032 in words is "three billion, seven hundred twenty-six million, five hundred eight thousand, thirty-two".