3238772040 has 576 divisors, whose sum is σ = 13094040960. Its totient is φ = 705438720.

The previous prime is 3238772011. The next prime is 3238772041. The reversal of 3238772040 is 402778323.

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

It is a junction number, because it is equal to n+sod(n) for n = 3238771986 and 3238772004.

It is not an unprimeable number, because it can be changed into a prime (3238772041) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75320259 + ... + 75320301.

It is an arithmetic number, because the mean of its divisors is an integer number (22732710).

Almost surely, 2^3238772040 is an apocalyptic number.

3238772040 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 3238772040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6547020480).

3238772040 is an abundant number, since it is smaller than the sum of its proper divisors (9855268920).

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

3238772040 is an equidigital number, since it uses as much as digits as its factorization.

3238772040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 3238772040 is about 56910.2103317146. The cubic root of 3238772040 is about 1479.5402821015.

The spelling of 3238772040 in words is "three billion, two hundred thirty-eight million, seven hundred seventy-two thousand, forty".