3419488800 has 864 divisors, whose sum is σ = 15764740992. Its totient is φ = 676823040.

The previous prime is 3419488799. The next prime is 3419488801. The reversal of 3419488800 is 88849143.

It is an interprime number because it is at equal distance from previous prime (3419488799) and next prime (3419488801).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3419488801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11138247 + ... + 11138553.

It is an arithmetic number, because the mean of its divisors is an integer number (18246228).

Almost surely, 2^3419488800 is an apocalyptic number.

3419488800 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 3419488800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7882370496).

3419488800 is an abundant number, since it is smaller than the sum of its proper divisors (12345252192).

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

3419488800 is a wasteful number, since it uses less digits than its factorization.

3419488800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 3419488800 is about 58476.3952377367. The cubic root of 3419488800 is about 1506.5621833028.

The spelling of 3419488800 in words is "three billion, four hundred nineteen million, four hundred eighty-eight thousand, eight hundred".