3493462464 has 168 divisors, whose sum is σ = 10662105168. Its totient is φ = 1089822720.

The previous prime is 3493462451. The next prime is 3493462471. The reversal of 3493462464 is 4642643943.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1928119 + ... + 1929929.

Almost surely, 2^3493462464 is an apocalyptic number.

3493462464 is a gapful number since it is divisible by the number (34) 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 3493462464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5331052584).

3493462464 is an abundant number, since it is smaller than the sum of its proper divisors (7168642704).

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

3493462464 is a wasteful number, since it uses less digits than its factorization.

3493462464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043 (or 2030 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 45.

The square root of 3493462464 is about 59105.5197422373. The cubic root of 3493462464 is about 1517.3485724737.

The spelling of 3493462464 in words is "three billion, four hundred ninety-three million, four hundred sixty-two thousand, four hundred sixty-four".