3483849600 has 576 divisors, whose sum is σ = 15508471680. Its totient is φ = 723456000.

The previous prime is 3483849539. The next prime is 3483849617. The reversal of 3483849600 is 69483843.

3483849600 is a `hidden beast` number, since 3 + 4 + 8 + 38 + 4 + 9 + 600 = 666.

3483849600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 2216815 + ... + 2218385.

It is an arithmetic number, because the mean of its divisors is an integer number (26924430).

Almost surely, 2^3483849600 is an apocalyptic number.

3483849600 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 3483849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7754235840).

3483849600 is an abundant number, since it is smaller than the sum of its proper divisors (12024622080).

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

3483849600 is a wasteful number, since it uses less digits than its factorization.

3483849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3483849600 is about 59024.1442123475. The cubic root of 3483849600 is about 1515.9555452790.

The spelling of 3483849600 in words is "three billion, four hundred eighty-three million, eight hundred forty-nine thousand, six hundred".