3378273300 has 108 divisors (see below), whose sum is σ = 10599952636. Its totient is φ = 899942400.

The previous prime is 3378273277. The next prime is 3378273317. The reversal of 3378273300 is 33728733.

It can be written as a sum of positive squares in 6 ways, for example, as 349091856 + 3029181444 = 18684^2 + 55038^2 .

It is a super-2 number, since 2×3378273300² = 22825460978985780000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1673892 + ... + 1675908.

Almost surely, 2^3378273300 is an apocalyptic number.

3378273300 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 3378273300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299976318).

3378273300 is an abundant number, since it is smaller than the sum of its proper divisors (7221679336).

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

3378273300 is a wasteful number, since it uses less digits than its factorization.

3378273300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3898 (or 3888 counting only the distinct ones).

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

The square root of 3378273300 is about 58122.9154464915. The cubic root of 3378273300 is about 1500.4847766442.

The spelling of 3378273300 in words is "three billion, three hundred seventy-eight million, two hundred seventy-three thousand, three hundred".