3803951156544 has 2688 divisors, whose sum is σ = 15566745600000. Its totient is φ = 907548364800.

The previous prime is 3803951156539. The next prime is 3803951156549. The reversal of 3803951156544 is 4456511593083.

3803951156544 is a `hidden beast` number, since 3 + 8 + 0 + 3 + 95 + 1 + 1 + 5 + 6 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (3803951156539) and next prime (3803951156549).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3803951156549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 64473748387 + ... + 64473748445.

It is an arithmetic number, because the mean of its divisors is an integer number (5791200000).

Almost surely, 2^{3803951156544} 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 3803951156544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7783372800000).

3803951156544 is an abundant number, since it is smaller than the sum of its proper divisors (11762794443456).

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

3803951156544 is a wasteful number, since it uses less digits than its factorization.

3803951156544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 3803951156544 in words is "three trillion, eight hundred three billion, nine hundred fifty-one million, one hundred fifty-six thousand, five hundred forty-four".