3246483240000 has 4725 divisors, whose sum is σ = 16650133174521. Its totient is φ = 622702080000.

The previous prime is 3246483239969. The next prime is 3246483240067. The reversal of 3246483240000 is 423846423.

The square root of 3246483240000 is 1801800.

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

3246483240000 is a `hidden beast` number, since 3 + 2 + 4 + 648 + 3 + 2 + 4 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 3206649466944 + 39833773056 = 1790712^2 + 199584^2 .

It is a tau number, because it is divible by the number of its divisors (4725).

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

It is an unprimeable number.

It is a polite number, since it can be written in 674 ways as a sum of consecutive naturals, for example, 249729479994 + ... + 249729480006.

Almost surely, 2^{3246483240000} is an apocalyptic number.

3246483240000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3246483240000 is the 1801800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3246483240000

3246483240000 is an abundant number, since it is smaller than the sum of its proper divisors (13403649934521).

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

3246483240000 is a wasteful number, since it uses less digits than its factorization.

3246483240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Multiplying 3246483240000 by its sum of digits (36), we get a square (116873396640000 = 10810800²).

3246483240000 divided by its sum of digits (36) gives a square (90180090000 = 300300²).

The spelling of 3246483240000 in words is "three trillion, two hundred forty-six billion, four hundred eighty-three million, two hundred forty thousand".