3793701120 has 576 divisors, whose sum is σ = 14481331200. Its totient is φ = 836075520.

The previous prime is 3793701103. The next prime is 3793701133. The reversal of 3793701120 is 211073973.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23274159 + ... + 23274321.

It is an arithmetic number, because the mean of its divisors is an integer number (25141200).

Almost surely, 2^3793701120 is an apocalyptic number.

3793701120 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 3793701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7240665600).

3793701120 is an abundant number, since it is smaller than the sum of its proper divisors (10687630080).

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

3793701120 is a wasteful number, since it uses less digits than its factorization.

3793701120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 33.

The square root of 3793701120 is about 61593.0281768968. The cubic root of 3793701120 is about 1559.6280507055.

The spelling of 3793701120 in words is "three billion, seven hundred ninety-three million, seven hundred one thousand, one hundred twenty".