3922075200 has 168 divisors, whose sum is σ = 12994241728. Its totient is φ = 1035601920.

The previous prime is 3922075189. The next prime is 3922075259. The reversal of 3922075200 is 25702293.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 490434 + ... + 498366.

Almost surely, 2^3922075200 is an apocalyptic number.

3922075200 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 3922075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6497120864).

3922075200 is an abundant number, since it is smaller than the sum of its proper divisors (9072166528).

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

3922075200 is a wasteful number, since it uses less digits than its factorization.

3922075200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8061 (or 8046 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 3922075200 is about 62626.4736353565. The cubic root of 3922075200 is about 1577.0252203944.

Adding to 3922075200 its reverse (25702293), we get a palindrome (3947777493).

The spelling of 3922075200 in words is "three billion, nine hundred twenty-two million, seventy-five thousand, two hundred".