3489397200 has 180 divisors, whose sum is σ = 12500195968. Its totient is φ = 900460800.

The previous prime is 3489397193. The next prime is 3489397211. The reversal of 3489397200 is 27939843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95967 + ... + 127233.

Almost surely, 2^3489397200 is an apocalyptic number.

3489397200 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 3489397200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6250097984).

3489397200 is an abundant number, since it is smaller than the sum of its proper divisors (9010798768).

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

3489397200 is a wasteful number, since it uses less digits than its factorization.

3489397200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31322 (or 31308 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3489397200 is about 59071.1198471808. The cubic root of 3489397200 is about 1516.7597758454.

It can be divided in two parts, 3489 and 397200, that added together give a square (400689 = 633²).

The spelling of 3489397200 in words is "three billion, four hundred eighty-nine million, three hundred ninety-seven thousand, two hundred".