3962724480 has 768 divisors, whose sum is σ = 17081850240. Its totient is φ = 831651840.

The previous prime is 3962724473. The next prime is 3962724499. The reversal of 3962724480 is 844272693.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14002419 + ... + 14002701.

Almost surely, 2^3962724480 is an apocalyptic number.

3962724480 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 3962724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8540925120).

3962724480 is an abundant number, since it is smaller than the sum of its proper divisors (13119125760).

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

3962724480 is a wasteful number, since it uses less digits than its factorization.

3962724480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3962724480 is about 62950.1745827603. The cubic root of 3962724480 is about 1582.4547219437.

The spelling of 3962724480 in words is "three billion, nine hundred sixty-two million, seven hundred twenty-four thousand, four hundred eighty".