3361865472 has 720 divisors, whose sum is σ = 12821276160. Its totient is φ = 853991424.

The previous prime is 3361865471. The next prime is 3361865483. The reversal of 3361865472 is 2745681633.

It is a super-2 number, since 2×3361865472² = 22604278903651565568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3361865471) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63431398 + ... + 63431450.

It is an arithmetic number, because the mean of its divisors is an integer number (17807328).

Almost surely, 2^3361865472 is an apocalyptic number.

3361865472 is a gapful number since it is divisible by the number (32) 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 3361865472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410638080).

3361865472 is an abundant number, since it is smaller than the sum of its proper divisors (9459410688).

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

3361865472 is a wasteful number, since it uses less digits than its factorization.

3361865472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 107 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 3361865472 is about 57981.5959766545. The cubic root of 3361865472 is about 1498.0516142912.

The spelling of 3361865472 in words is "three billion, three hundred sixty-one million, eight hundred sixty-five thousand, four hundred seventy-two".