3385250400 has 288 divisors, whose sum is σ = 13142158848. Its totient is φ = 740044800.

The previous prime is 3385250399. The next prime is 3385250413. The reversal of 3385250400 is 40525833.

It is a super-2 number, since 2×3385250400² = 22919840541400320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 382020 + ... + 390780.

It is an arithmetic number, because the mean of its divisors is an integer number (45632496).

Almost surely, 2^3385250400 is an apocalyptic number.

3385250400 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 3385250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6571079424).

3385250400 is an abundant number, since it is smaller than the sum of its proper divisors (9756908448).

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

3385250400 is a wasteful number, since it uses less digits than its factorization.

3385250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8814 (or 8801 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 3385250400 is about 58182.9047057639. The cubic root of 3385250400 is about 1501.5170429809.

The spelling of 3385250400 in words is "three billion, three hundred eighty-five million, two hundred fifty thousand, four hundred".