3377985300 has 324 divisors, whose sum is σ = 11517567516. Its totient is φ = 827366400.

The previous prime is 3377985293. The next prime is 3377985311. The reversal of 3377985300 is 35897733.

3377985300 is a `hidden beast` number, since 337 + 7 + 9 + 8 + 5 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 102941316 + 3275043984 = 10146^2 + 57228^2 .

It is a super-2 number, since 2×3377985300² = 22821569374032180000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 12021160 + ... + 12021440.

Almost surely, 2^3377985300 is an apocalyptic number.

3377985300 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 3377985300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5758783758).

3377985300 is an abundant number, since it is smaller than the sum of its proper divisors (8139582216).

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

3377985300 is a wasteful number, since it uses less digits than its factorization.

3377985300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 3377985300 is about 58120.4378854805. The cubic root of 3377985300 is about 1500.4421363308.

The spelling of 3377985300 in words is "three billion, three hundred seventy-seven million, nine hundred eighty-five thousand, three hundred".