3319252554240 has 480 divisors, whose sum is σ = 13561538006016. Its totient is φ = 734211440640.

The previous prime is 3319252554221. The next prime is 3319252554251. The reversal of 3319252554240 is 424552529133.

It is a happy number.

3319252554240 is a `hidden beast` number, since 3 + 3 + 1 + 9 + 2 + 52 + 554 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3319252554240² (a number of 26 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 4667734 + ... + 5331626.

Almost surely, 2^{3319252554240} is an apocalyptic number.

3319252554240 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 3319252554240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6780769003008).

3319252554240 is an abundant number, since it is smaller than the sum of its proper divisors (10242285451776).

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

3319252554240 is a wasteful number, since it uses less digits than its factorization.

3319252554240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663960 (or 663941 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 3319252554240 in words is "three trillion, three hundred nineteen billion, two hundred fifty-two million, five hundred fifty-four thousand, two hundred forty".