3480192000 has 704 divisors, whose sum is σ = 13795142400. Its totient is φ = 862617600.

The previous prime is 3480191989. The next prime is 3480192007. The reversal of 3480192000 is 2910843.

It is a super-2 number, since 2×3480192000² = 24223472713728000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3480192007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65663974 + ... + 65664026.

Almost surely, 2^3480192000 is an apocalyptic number.

3480192000 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 3480192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6897571200).

3480192000 is an abundant number, since it is smaller than the sum of its proper divisors (10314950400).

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

3480192000 is a wasteful number, since it uses less digits than its factorization.

3480192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3480192000 is about 58993.1521449736. The cubic root of 3480192000 is about 1515.4248391921.

The spelling of 3480192000 in words is "three billion, four hundred eighty million, one hundred ninety-two thousand".