3354048000 has 400 divisors, whose sum is σ = 12512975904. Its totient is φ = 893030400.

The previous prime is 3354047987. The next prime is 3354048013. The reversal of 3354048000 is 8404533.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3354047987) and next prime (3354048013).

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×3354048000² = 22499275972608000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5183677 + ... + 5184323.

Almost surely, 2^3354048000 is an apocalyptic number.

3354048000 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 3354048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6256487952).

3354048000 is an abundant number, since it is smaller than the sum of its proper divisors (9158927904).

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

3354048000 is an frugal number, since it uses more digits than its factorization.

3354048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3354048000 is about 57914.1433503078. The cubic root of 3354048000 is about 1496.8895545443.

The spelling of 3354048000 in words is "three billion, three hundred fifty-four million, forty-eight thousand".