3827337999264 has 384 divisors, whose sum is σ = 12836221009920. Its totient is φ = 1100241128448.

The previous prime is 3827337999263. The next prime is 3827337999271. The reversal of 3827337999264 is 4629997337283.

3827337999264 is a `hidden beast` number, since 3 + 8 + 27 + 337 + 9 + 9 + 9 + 264 = 666.

It is a super-2 number, since 2×3827337999264² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3827337999192 and 3827337999201.

It is not an unprimeable number, because it can be changed into a prime (3827337999263) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10936177 + ... + 11280719.

It is an arithmetic number, because the mean of its divisors is an integer number (33427658880).

Almost surely, 2^{3827337999264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3827337999264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6418110504960).

3827337999264 is an abundant number, since it is smaller than the sum of its proper divisors (9008883010656).

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

3827337999264 is a wasteful number, since it uses less digits than its factorization.

3827337999264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344641 (or 344627 counting only the distinct ones).

The product of its digits is 740710656, while the sum is 72.

The spelling of 3827337999264 in words is "three trillion, eight hundred twenty-seven billion, three hundred thirty-seven million, nine hundred ninety-nine thousand, two hundred sixty-four".