3554343374400 has 2520 divisors, whose sum is σ = 16403222626560. Its totient is φ = 739090759680.

The previous prime is 3554343374369. The next prime is 3554343374489. The reversal of 3554343374400 is 44733434553.

3554343374400 is a `hidden beast` number, since 3 + 5 + 543 + 4 + 33 + 74 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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 359 ways as a sum of consecutive naturals, for example, 14871729481 + ... + 14871729719.

It is an arithmetic number, because the mean of its divisors is an integer number (6509215328).

Almost surely, 2^{3554343374400} is an apocalyptic number.

3554343374400 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 3554343374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8201611313280).

3554343374400 is an abundant number, since it is smaller than the sum of its proper divisors (12848879252160).

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

3554343374400 is a wasteful number, since it uses less digits than its factorization.

3554343374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 45.

The spelling of 3554343374400 in words is "three trillion, five hundred fifty-four billion, three hundred forty-three million, three hundred seventy-four thousand, four hundred".