3450969600 has 480 divisors, whose sum is σ = 12729851904. Its totient is φ = 818380800.

The previous prime is 3450969593. The next prime is 3450969619. The reversal of 3450969600 is 69690543.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15475089 + ... + 15475311.

Almost surely, 2^3450969600 is an apocalyptic number.

3450969600 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 3450969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6364925952).

3450969600 is an abundant number, since it is smaller than the sum of its proper divisors (9278882304).

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

3450969600 is a wasteful number, since it uses less digits than its factorization.

3450969600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 3450969600 is about 58744.9538258394. The cubic root of 3450969600 is about 1511.1713496427.

The spelling of 3450969600 in words is "three billion, four hundred fifty million, nine hundred sixty-nine thousand, six hundred".