3783039120 has 480 divisors, whose sum is σ = 15660426240. Its totient is φ = 836075520.

The previous prime is 3783039101. The next prime is 3783039179. The reversal of 3783039120 is 219303873.

It is a happy number.

It is a super-2 number, since 2×3783039120² = 28622769966900748800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3280464 + ... + 3281616.

It is an arithmetic number, because the mean of its divisors is an integer number (32625888).

Almost surely, 2^3783039120 is an apocalyptic number.

3783039120 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 3783039120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7830213120).

3783039120 is an abundant number, since it is smaller than the sum of its proper divisors (11877387120).

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

3783039120 is a wasteful number, since it uses less digits than its factorization.

3783039120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3783039120 is about 61506.4152751565. The cubic root of 3783039120 is about 1558.1655952474.

The spelling of 3783039120 in words is "three billion, seven hundred eighty-three million, thirty-nine thousand, one hundred twenty".