3232077840 has 240 divisors, whose sum is σ = 11821118400. Its totient is φ = 788272128.

The previous prime is 3232077817. The next prime is 3232077857. The reversal of 3232077840 is 487702323.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 3232077795 and 3232077804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392647 + ... + 400793.

It is an arithmetic number, because the mean of its divisors is an integer number (49254660).

Almost surely, 2^3232077840 is an apocalyptic number.

3232077840 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 3232077840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5910559200).

3232077840 is an abundant number, since it is smaller than the sum of its proper divisors (8589040560).

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

3232077840 is a wasteful number, since it uses less digits than its factorization.

3232077840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8214 (or 8205 counting only the distinct ones).

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

The square root of 3232077840 is about 56851.3662104966. The cubic root of 3232077840 is about 1478.5202277906.

The spelling of 3232077840 in words is "three billion, two hundred thirty-two million, seventy-seven thousand, eight hundred forty".