3354492960 has 1152 divisors, whose sum is σ = 15637224960. Its totient is φ = 664215552.

The previous prime is 3354492943. The next prime is 3354492971. The reversal of 3354492960 is 692944533.

3354492960 is a `hidden beast` number, since 3 + 354 + 4 + 9 + 296 + 0 = 666.

It is a super-2 number, since 2×3354492960² = 22505246037379123200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63292294 + ... + 63292346.

It is an arithmetic number, because the mean of its divisors is an integer number (13573980).

Almost surely, 2^3354492960 is an apocalyptic number.

3354492960 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 3354492960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7818612480).

3354492960 is an abundant number, since it is smaller than the sum of its proper divisors (12282732000).

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

3354492960 is a wasteful number, since it uses less digits than its factorization.

3354492960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 3354492960 is about 57917.9847715716. The cubic root of 3354492960 is about 1496.9557458575.

The spelling of 3354492960 in words is "three billion, three hundred fifty-four million, four hundred ninety-two thousand, nine hundred sixty".