3442867200 has 528 divisors, whose sum is σ = 13432577760. Its totient is φ = 861143040.

The previous prime is 3442867187. The next prime is 3442867213. The reversal of 3442867200 is 27682443.

3442867200 is a `hidden beast` number, since 3 + 442 + 8 + 6 + 7 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (3442867187) and next prime (3442867213).

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 47 ways as a sum of consecutive naturals, for example, 11750254 + ... + 11750546.

Almost surely, 2^3442867200 is an apocalyptic number.

3442867200 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 3442867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6716288880).

3442867200 is an abundant number, since it is smaller than the sum of its proper divisors (9989710560).

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

3442867200 is a wasteful number, since it uses less digits than its factorization.

3442867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3442867200 is about 58675.9507805370. The cubic root of 3442867200 is about 1509.9877489759.

The spelling of 3442867200 in words is "three billion, four hundred forty-two million, eight hundred sixty-seven thousand, two hundred".