3796265926656 has 1020 divisors, whose sum is σ = 13728569476512. Its totient is φ = 1023929745408.

The previous prime is 3796265926643. The next prime is 3796265926769. The reversal of 3796265926656 is 6566295626973.

3796265926656 is a `hidden beast` number, since 3 + 7 + 9 + 6 + 26 + 592 + 6 + 6 + 5 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13414367091 + ... + 13414367373.

Almost surely, 2^{3796265926656} is an apocalyptic number.

3796265926656 is a gapful number since it is divisible by the number (36) 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 3796265926656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6864284738256).

3796265926656 is an abundant number, since it is smaller than the sum of its proper divisors (9932303549856).

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

3796265926656 is an frugal number, since it uses more digits than its factorization.

3796265926656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 314 counting only the distinct ones).

The product of its digits is 1322697600, while the sum is 72.

The spelling of 3796265926656 in words is "three trillion, seven hundred ninety-six billion, two hundred sixty-five million, nine hundred twenty-six thousand, six hundred fifty-six".