3813156480 has 192 divisors, whose sum is σ = 14139182880. Its totient is φ = 871557120.

The previous prime is 3813156469. The next prime is 3813156509. The reversal of 3813156480 is 846513183.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×3813156480³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73815 + ... + 114345.

Almost surely, 2^3813156480 is an apocalyptic number.

3813156480 is a gapful number since it is divisible by the number (30) 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 3813156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7069591440).

3813156480 is an abundant number, since it is smaller than the sum of its proper divisors (10326026400).

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

3813156480 is a wasteful number, since it uses less digits than its factorization.

3813156480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40567 (or 40548 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 3813156480 is about 61750.7609669711. The cubic root of 3813156480 is about 1562.2896030731.

The spelling of 3813156480 in words is "three billion, eight hundred thirteen million, one hundred fifty-six thousand, four hundred eighty".