3373712640 has 576 divisors, whose sum is σ = 12809502720. Its totient is φ = 839393280.

The previous prime is 3373712633. The next prime is 3373712659. The reversal of 3373712640 is 462173733.

3373712640 is a `hidden beast` number, since 3 + 3 + 7 + 3 + 7 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3373712640² = 22763873954591539200, 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 = 3373712595 and 3373712604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50353887 + ... + 50353953.

It is an arithmetic number, because the mean of its divisors is an integer number (22238720).

Almost surely, 2^3373712640 is an apocalyptic number.

3373712640 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 3373712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6404751360).

3373712640 is an abundant number, since it is smaller than the sum of its proper divisors (9435790080).

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

3373712640 is a wasteful number, since it uses less digits than its factorization.

3373712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 3373712640 is about 58083.6693055802. The cubic root of 3373712640 is about 1499.8092557454.

The spelling of 3373712640 in words is "three billion, three hundred seventy-three million, seven hundred twelve thousand, six hundred forty".