3445752960 has 320 divisors, whose sum is σ = 13254567480. Its totient is φ = 848019456.

The previous prime is 3445752949. The next prime is 3445753009. The reversal of 3445752960 is 692575443.

It can be written as a sum of positive squares in 4 ways, for example, as 999065664 + 2446687296 = 31608^2 + 49464^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×3445752960² = 23746426922697523200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 671364 + ... + 676476.

Almost surely, 2^3445752960 is an apocalyptic number.

3445752960 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 3445752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6627283740).

3445752960 is an abundant number, since it is smaller than the sum of its proper divisors (9808814520).

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

3445752960 is a wasteful number, since it uses less digits than its factorization.

3445752960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5157 (or 5136 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 3445752960 is about 58700.5362837513. The cubic root of 3445752960 is about 1510.4095142379.

The spelling of 3445752960 in words is "three billion, four hundred forty-five million, seven hundred fifty-two thousand, nine hundred sixty".