3376768000 has 352 divisors, whose sum is σ = 9319385088. Its totient is φ = 1216512000.

The previous prime is 3376767983. The next prime is 3376768013. The reversal of 3376768000 is 8676733.

It is a super-2 number, since 2×3376768000² = 22805124251648000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91263982 + ... + 91264018.

Almost surely, 2^3376768000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3376768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4659692544).

3376768000 is an abundant number, since it is smaller than the sum of its proper divisors (5942617088).

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

3376768000 is a wasteful number, since it uses less digits than its factorization.

3376768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The square root of 3376768000 is about 58109.9647220681. The cubic root of 3376768000 is about 1500.2618802024.

The spelling of 3376768000 in words is "three billion, three hundred seventy-six million, seven hundred sixty-eight thousand".