3341750400 has 576 divisors, whose sum is σ = 13022380800. Its totient is φ = 812851200.

The previous prime is 3341750389. The next prime is 3341750411. The reversal of 3341750400 is 40571433.

It is an interprime number because it is at equal distance from previous prime (3341750389) and next prime (3341750411).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3341750400² = 22334591471800320000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16963102 + ... + 16963298.

It is an arithmetic number, because the mean of its divisors is an integer number (22608300).

Almost surely, 2^3341750400 is an apocalyptic number.

3341750400 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 3341750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6511190400).

3341750400 is an abundant number, since it is smaller than the sum of its proper divisors (9680630400).

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

3341750400 is a wasteful number, since it uses less digits than its factorization.

3341750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 257 counting only the distinct ones).

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

The square root of 3341750400 is about 57807.8748960728. The cubic root of 3341750400 is about 1495.0578681045.

The spelling of 3341750400 in words is "three billion, three hundred forty-one million, seven hundred fifty thousand, four hundred".