3733826880 has 224 divisors, whose sum is σ = 13915558656. Its totient is φ = 830324736.

The previous prime is 3733826867. The next prime is 3733826893. The reversal of 3733826880 is 886283373.

3733826880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3733826867) and next prime (3733826893).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241132 + ... + 256148.

Almost surely, 2^3733826880 is an apocalyptic number.

3733826880 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 3733826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6957779328).

3733826880 is an abundant number, since it is smaller than the sum of its proper divisors (10181731776).

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

3733826880 is a wasteful number, since it uses less digits than its factorization.

3733826880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15081 (or 15071 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 3733826880 is about 61105.0479093176. The cubic root of 3733826880 is about 1551.3795390675.

The spelling of 3733826880 in words is "three billion, seven hundred thirty-three million, eight hundred twenty-six thousand, eight hundred eighty".