3922776000 has 896 divisors, whose sum is σ = 17041489920. Its totient is φ = 870912000.

The previous prime is 3922775977. The next prime is 3922776019. The reversal of 3922776000 is 6772293.

3922776000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 30887937 + ... + 30888063.

It is an arithmetic number, because the mean of its divisors is an integer number (19019520).

Almost surely, 2^3922776000 is an apocalyptic number.

3922776000 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 3922776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8520744960).

3922776000 is an abundant number, since it is smaller than the sum of its proper divisors (13118713920).

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

3922776000 is a wasteful number, since it uses less digits than its factorization.

3922776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 3922776000 is about 62632.0684633679. The cubic root of 3922776000 is about 1577.1191429056.

The spelling of 3922776000 in words is "three billion, nine hundred twenty-two million, seven hundred seventy-six thousand".