3372272640 has 264 divisors, whose sum is σ = 12749010768. Its totient is φ = 817397760.

The previous prime is 3372272639. The next prime is 3372272641. The reversal of 3372272640 is 462722733.

3372272640 is a `hidden beast` number, since 3 + 3 + 7 + 2 + 2 + 7 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (3372272639) and next prime (3372272641).

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×3372272640² = 22744445516985139200, which contains 22 as substring.

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 = 3372272595 and 3372272604.

It is not an unprimeable number, because it can be changed into a prime (3372272641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 503554 + ... + 510206.

Almost surely, 2^3372272640 is an apocalyptic number.

3372272640 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 3372272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374505384).

3372272640 is an abundant number, since it is smaller than the sum of its proper divisors (9376738128).

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

3372272640 is a wasteful number, since it uses less digits than its factorization.

3372272640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6695 (or 6674 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 3372272640 is about 58071.2720714813. The cubic root of 3372272640 is about 1499.5958377784.

The spelling of 3372272640 in words is "three billion, three hundred seventy-two million, two hundred seventy-two thousand, six hundred forty".