3480824664 has 120 divisors (see below), whose sum is σ = 10357326540. Its totient is φ = 1091964672.

The previous prime is 3480824663. The next prime is 3480824689. The reversal of 3480824664 is 4664280843.

3480824664 is a `hidden beast` number, since 34 + 80 + 82 + 466 + 4 = 666.

It is a super-2 number, since 2×3480824664² = 24232280683021425792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3480824663) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 177979 + ... + 196565.

Almost surely, 2^3480824664 is an apocalyptic number.

3480824664 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 3480824664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5178663270).

3480824664 is an abundant number, since it is smaller than the sum of its proper divisors (6876501876).

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

3480824664 is a wasteful number, since it uses less digits than its factorization.

3480824664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18639 (or 18609 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The square root of 3480824664 is about 58998.5140829835. The cubic root of 3480824664 is about 1515.5166633068.

The spelling of 3480824664 in words is "three billion, four hundred eighty million, eight hundred twenty-four thousand, six hundred sixty-four".