3449001600 has 768 divisors, whose sum is σ = 14570496000. Its totient is φ = 787968000.

The previous prime is 3449001571. The next prime is 3449001613. The reversal of 3449001600 is 61009443.

It is a super-2 number, since 2×3449001600² = 23791224073605120000, which contains 22 as substring.

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

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, 18057505 + ... + 18057695.

It is an arithmetic number, because the mean of its divisors is an integer number (18972000).

Almost surely, 2^3449001600 is an apocalyptic number.

3449001600 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 3449001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7285248000).

3449001600 is an abundant number, since it is smaller than the sum of its proper divisors (11121494400).

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

3449001600 is a wasteful number, since it uses less digits than its factorization.

3449001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3449001600 is about 58728.2010621814. The cubic root of 3449001600 is about 1510.8840341856.

The spelling of 3449001600 in words is "three billion, four hundred forty-nine million, one thousand, six hundred".