3249662937120 has 960 divisors, whose sum is σ = 12421201849056. Its totient is φ = 797058662400.

The previous prime is 3249662937119. The next prime is 3249662937179. The reversal of 3249662937120 is 217392669423.

3249662937120 is a `hidden beast` number, since 3 + 2 + 4 + 9 + 6 + 629 + 3 + 7 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1909338076944 + 1340324860176 = 1381788^2 + 1157724^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4635752770 + ... + 4635753470.

Almost surely, 2^{3249662937120} is an apocalyptic number.

3249662937120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3249662937120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6210600924528).

3249662937120 is an abundant number, since it is smaller than the sum of its proper divisors (9171538911936).

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

3249662937120 is a wasteful number, since it uses less digits than its factorization.

3249662937120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 3249662937120 in words is "three trillion, two hundred forty-nine billion, six hundred sixty-two million, nine hundred thirty-seven thousand, one hundred twenty".