3828312264240 has 160 divisors (see below), whose sum is σ = 13189630184640. Its totient is φ = 1020633882624.

The previous prime is 3828312264233. The next prime is 3828312264277. The reversal of 3828312264240 is 424622138283.

3828312264240 is a `hidden beast` number, since 3 + 8 + 283 + 122 + 6 + 4 + 240 = 666.

3828312264240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8712864 + ... + 9141696.

It is an arithmetic number, because the mean of its divisors is an integer number (82435188654).

Almost surely, 2^{3828312264240} is an apocalyptic number.

3828312264240 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 3828312264240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6594815092320).

3828312264240 is an abundant number, since it is smaller than the sum of its proper divisors (9361317920400).

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

3828312264240 is a wasteful number, since it uses less digits than its factorization.

3828312264240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432988 (or 432976 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 3828312264240 in words is "three trillion, eight hundred twenty-eight billion, three hundred twelve million, two hundred sixty-four thousand, two hundred forty".