3415370400 has 288 divisors, whose sum is σ = 13303523520. Its totient is φ = 840637440.

The previous prime is 3415370369. The next prime is 3415370411. The reversal of 3415370400 is 40735143.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) 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 (27).

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, 274719 + ... + 286881.

It is an arithmetic number, because the mean of its divisors is an integer number (46192790).

Almost surely, 2^3415370400 is an apocalyptic number.

3415370400 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 3415370400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6651761760).

3415370400 is an abundant number, since it is smaller than the sum of its proper divisors (9888153120).

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

3415370400 is a wasteful number, since it uses less digits than its factorization.

3415370400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12205 (or 12186 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3415370400 is about 58441.1704194911. The cubic root of 3415370400 is about 1505.9571105704.

The spelling of 3415370400 in words is "three billion, four hundred fifteen million, three hundred seventy thousand, four hundred".