3545078400 has 576 divisors, whose sum is σ = 13535383680. Its totient is φ = 915701760.

The previous prime is 3545078293. The next prime is 3545078413. The reversal of 3545078400 is 48705453.

3545078400 is a `hidden beast` number, since 3 + 545 + 0 + 78 + 40 + 0 = 666.

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 (36).

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, 36547152 + ... + 36547248.

It is an arithmetic number, because the mean of its divisors is an integer number (23498930).

Almost surely, 2^3545078400 is an apocalyptic number.

3545078400 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 3545078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6767691840).

3545078400 is an abundant number, since it is smaller than the sum of its proper divisors (9990305280).

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

3545078400 is an equidigital number, since it uses as much as digits as its factorization.

3545078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 3545078400 is about 59540.5609647743. The cubic root of 3545078400 is about 1524.7850131408.

The spelling of 3545078400 in words is "three billion, five hundred forty-five million, seventy-eight thousand, four hundred".