3779556961536 has 216 divisors, whose sum is σ = 11444067223680. Its totient is φ = 1243903205376.

The previous prime is 3779556961483. The next prime is 3779556961541. The reversal of 3779556961536 is 6351696559773.

3779556961536 is a `hidden beast` number, since 3 + 7 + 7 + 9 + 5 + 569 + 6 + 1 + 53 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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 23 ways as a sum of consecutive naturals, for example, 4529896 + ... + 5298968.

Almost surely, 2^{3779556961536} is an apocalyptic number.

3779556961536 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 3779556961536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5722033611840).

3779556961536 is an abundant number, since it is smaller than the sum of its proper divisors (7664510262144).

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

3779556961536 is an frugal number, since it uses more digits than its factorization.

3779556961536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769183 (or 769157 counting only the distinct ones).

The product of its digits is 964467000, while the sum is 72.

The spelling of 3779556961536 in words is "three trillion, seven hundred seventy-nine billion, five hundred fifty-six million, nine hundred sixty-one thousand, five hundred thirty-six".