3922377480 has 768 divisors, whose sum is σ = 16547328000. Its totient is φ = 821270016.

The previous prime is 3922377439. The next prime is 3922377509. The reversal of 3922377480 is 847732293.

3922377480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3922377480² = 30770090191222300800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47257519 + ... + 47257601.

It is an arithmetic number, because the mean of its divisors is an integer number (21546000).

Almost surely, 2^3922377480 is an apocalyptic number.

3922377480 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 3922377480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8273664000).

3922377480 is an abundant number, since it is smaller than the sum of its proper divisors (12624950520).

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

3922377480 is a wasteful number, since it uses less digits than its factorization.

3922377480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3922377480 is about 62628.8869452428. The cubic root of 3922377480 is about 1577.0657338907.

The spelling of 3922377480 in words is "three billion, nine hundred twenty-two million, three hundred seventy-seven thousand, four hundred eighty".