3835972044576 has 1536 divisors, whose sum is σ = 14335082496000. Its totient is φ = 973505433600.

The previous prime is 3835972044571. The next prime is 3835972044587. The reversal of 3835972044576 is 6754402795383.

It is a happy number.

3835972044576 is a `hidden beast` number, since 3 + 8 + 3 + 59 + 7 + 2 + 0 + 4 + 4 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3835972044571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 27596921115 + ... + 27596921253.

It is an arithmetic number, because the mean of its divisors is an integer number (9332736000).

Almost surely, 2^{3835972044576} is an apocalyptic number.

3835972044576 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 3835972044576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7167541248000).

3835972044576 is an abundant number, since it is smaller than the sum of its proper divisors (10499110451424).

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

3835972044576 is a wasteful number, since it uses less digits than its factorization.

3835972044576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 3835972044576 in words is "three trillion, eight hundred thirty-five billion, nine hundred seventy-two million, forty-four thousand, five hundred seventy-six".