3962234880 has 480 divisors, whose sum is σ = 15090795720. Its totient is φ = 990904320.

The previous prime is 3962234879. The next prime is 3962234891. The reversal of 3962234880 is 884322693.

It can be written as a sum of positive squares in 4 ways, for example, as 3763086336 + 199148544 = 61344^2 + 14112^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3962234880² = 31398610488577228800, 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 39 ways as a sum of consecutive naturals, for example, 14100340 + ... + 14100620.

Almost surely, 2^3962234880 is an apocalyptic number.

3962234880 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 3962234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7545397860).

3962234880 is an abundant number, since it is smaller than the sum of its proper divisors (11128560840).

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

3962234880 is a wasteful number, since it uses less digits than its factorization.

3962234880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3962234880 is about 62946.2856727861. The cubic root of 3962234880 is about 1582.3895477817.

The spelling of 3962234880 in words is "three billion, nine hundred sixty-two million, two hundred thirty-four thousand, eight hundred eighty".