3422957400 has 192 divisors, whose sum is σ = 11823350400. Its totient is φ = 910224000.

The previous prime is 3422957387. The next prime is 3422957507. The reversal of 3422957400 is 47592243.

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, 2650755 + ... + 2652045.

It is an arithmetic number, because the mean of its divisors is an integer number (61579950).

Almost surely, 2^3422957400 is an apocalyptic number.

3422957400 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 3422957400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5911675200).

3422957400 is an abundant number, since it is smaller than the sum of its proper divisors (8400393000).

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

3422957400 is a wasteful number, since it uses less digits than its factorization.

3422957400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3422957400 is about 58506.0458414342. The cubic root of 3422957400 is about 1507.0714110447.

The spelling of 3422957400 in words is "three billion, four hundred twenty-two million, nine hundred fifty-seven thousand, four hundred".