3450387600 has 405 divisors, whose sum is σ = 13310829259. Its totient is φ = 827059200.

The previous prime is 3450387461. The next prime is 3450387617. The reversal of 3450387600 is 67830543.

It is a happy number.

The square root of 3450387600 is 58740.

It is a perfect power (a square), and thus also a powerful number.

3450387600 is a `hidden beast` number, since 3 + 45 + 0 + 3 + 8 + 7 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 718025616 + 2732361984 = 26796^2 + 52272^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 38768356 + ... + 38768444.

Almost surely, 2^3450387600 is an apocalyptic number.

3450387600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3450387600 is the 58740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3450387600

3450387600 is an abundant number, since it is smaller than the sum of its proper divisors (9860441659).

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

3450387600 is a wasteful number, since it uses less digits than its factorization.

3450387600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The cubic root of 3450387600 is about 1511.0863927297.

Multiplying 3450387600 by its sum of digits (36), we get a square (124213953600 = 352440²).

3450387600 divided by its sum of digits (36) gives a square (95844100 = 9790²).

The spelling of 3450387600 in words is "three billion, four hundred fifty million, three hundred eighty-seven thousand, six hundred".