3462261660 has 288 divisors, whose sum is σ = 12739184640. Its totient is φ = 749606400.

The previous prime is 3462261641. The next prime is 3462261683. The reversal of 3462261660 is 661622643.

3462261660 is a `hidden beast` number, since 34 + 6 + 2 + 2 + 616 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 795771 + ... + 800109.

It is an arithmetic number, because the mean of its divisors is an integer number (44233280).

Almost surely, 2^3462261660 is an apocalyptic number.

3462261660 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 3462261660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6369592320).

3462261660 is an abundant number, since it is smaller than the sum of its proper divisors (9276922980).

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

3462261660 is a wasteful number, since it uses less digits than its factorization.

3462261660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4409 (or 4404 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3462261660 is about 58840.9862255894. The cubic root of 3462261660 is about 1512.8178105014.

The spelling of 3462261660 in words is "three billion, four hundred sixty-two million, two hundred sixty-one thousand, six hundred sixty".