3377894400 has 462 divisors, whose sum is σ = 12623247182. Its totient is φ = 895795200.

The previous prime is 3377894383. The next prime is 3377894437. The reversal of 3377894400 is 44987733.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 26873856 + 3351020544 = 5184^2 + 57888^2 .

It is a super-2 number, since 2×3377894400² = 22820341155102720000, 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 18662310 + ... + 18662490.

Almost surely, 2^3377894400 is an apocalyptic number.

3377894400 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 3377894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6311623591).

3377894400 is an abundant number, since it is smaller than the sum of its proper divisors (9245352782).

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

3377894400 is an equidigital number, since it uses as much as digits as its factorization.

3377894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3377894400 is about 58119.6558833584. The cubic root of 3377894400 is about 1500.4286774787.

The spelling of 3377894400 in words is "three billion, three hundred seventy-seven million, eight hundred ninety-four thousand, four hundred".