3818961120 has 384 divisors, whose sum is σ = 13439139840. Its totient is φ = 905748480.

The previous prime is 3818961119. The next prime is 3818961127. The reversal of 3818961120 is 211698183.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3818961127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30070497 + ... + 30070623.

It is an arithmetic number, because the mean of its divisors is an integer number (34997760).

Almost surely, 2^3818961120 is an apocalyptic number.

3818961120 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 3818961120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6719569920).

3818961120 is an abundant number, since it is smaller than the sum of its proper divisors (9620178720).

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

3818961120 is a wasteful number, since it uses less digits than its factorization.

3818961120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 3818961120 is about 61797.7436481301. The cubic root of 3818961120 is about 1563.0819414840.

The spelling of 3818961120 in words is "three billion, eight hundred eighteen million, nine hundred sixty-one thousand, one hundred twenty".