3375078000 has 640 divisors, whose sum is σ = 13704837120. Its totient is φ = 696729600.

The previous prime is 3375077999. The next prime is 3375078013. The reversal of 3375078000 is 8705733.

It is a super-2 number, since 2×3375078000² = 22782303012168000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20705919 + ... + 20706081.

It is an arithmetic number, because the mean of its divisors is an integer number (21413808).

Almost surely, 2^3375078000 is an apocalyptic number.

3375078000 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 3375078000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6852418560).

3375078000 is an abundant number, since it is smaller than the sum of its proper divisors (10329759120).

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

3375078000 is a wasteful number, since it uses less digits than its factorization.

3375078000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 3375078000 is about 58095.4215063459. The cubic root of 3375078000 is about 1500.0115554665.

The spelling of 3375078000 in words is "three billion, three hundred seventy-five million, seventy-eight thousand".