3442757040 has 640 divisors, whose sum is σ = 13450924800. Its totient is φ = 805109760.

The previous prime is 3442757039. The next prime is 3442757063. The reversal of 3442757040 is 407572443.

3442757040 is a `hidden beast` number, since 3 + 4 + 42 + 7 + 570 + 40 = 666.

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 = 3442756986 and 3442757004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56438610 + ... + 56438670.

It is an arithmetic number, because the mean of its divisors is an integer number (21017070).

Almost surely, 2^3442757040 is an apocalyptic number.

3442757040 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 3442757040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6725462400).

3442757040 is an abundant number, since it is smaller than the sum of its proper divisors (10008167760).

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

3442757040 is a wasteful number, since it uses less digits than its factorization.

3442757040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 3442757040 is about 58675.0120579451. The cubic root of 3442757040 is about 1509.9716439860.

The spelling of 3442757040 in words is "three billion, four hundred forty-two million, seven hundred fifty-seven thousand, forty".