3239481620736 has 405 divisors, whose sum is σ = 10027386962593. Its totient is φ = 1040172779520.

The previous prime is 3239481620671. The next prime is 3239481620741. The reversal of 3239481620736 is 6370261849323.

The square root of 3239481620736 is 1799856.

It is a perfect power (a square), and thus also a powerful number.

3239481620736 is a `hidden beast` number, since 3 + 2 + 3 + 9 + 4 + 8 + 1 + 620 + 7 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1698705582336 + 1540776038400 = 1303344^2 + 1241280^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7516198441 + ... + 7516198871.

Almost surely, 2^{3239481620736} is an apocalyptic number.

3239481620736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3239481620736 is the 1799856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3239481620736

3239481620736 is an abundant number, since it is smaller than the sum of its proper divisors (6787905341857).

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

3239481620736 is an frugal number, since it uses more digits than its factorization.

3239481620736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 3239481620736 in words is "three trillion, two hundred thirty-nine billion, four hundred eighty-one million, six hundred twenty thousand, seven hundred thirty-six".