3462943680 has 504 divisors, whose sum is σ = 14147669952. Its totient is φ = 774918144.

The previous prime is 3462943669. The next prime is 3462943697. The reversal of 3462943680 is 863492643.

It is a tau number, because it is divible by the number of its divisors (504).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7479129 + ... + 7479591.

Almost surely, 2^3462943680 is an apocalyptic number.

3462943680 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 3462943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7073834976).

3462943680 is an abundant number, since it is smaller than the sum of its proper divisors (10684726272).

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

3462943680 is a wasteful number, since it uses less digits than its factorization.

3462943680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 3462943680 is about 58846.7813903190. The cubic root of 3462943680 is about 1512.9171390486.

The spelling of 3462943680 in words is "three billion, four hundred sixty-two million, nine hundred forty-three thousand, six hundred eighty".