3423253545600 has 384 divisors, whose sum is σ = 12930158666880. Its totient is φ = 779782963200.

The previous prime is 3423253545527. The next prime is 3423253545601. The reversal of 3423253545600 is 65453523243.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3423253545601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19602670 + ... + 19776530.

It is an arithmetic number, because the mean of its divisors is an integer number (33672288195).

Almost surely, 2^{3423253545600} is an apocalyptic number.

3423253545600 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 3423253545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6465079333440).

3423253545600 is an abundant number, since it is smaller than the sum of its proper divisors (9506905121280).

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

3423253545600 is a wasteful number, since it uses less digits than its factorization.

3423253545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174188 (or 174171 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 42.

The spelling of 3423253545600 in words is "three trillion, four hundred twenty-three billion, two hundred fifty-three million, five hundred forty-five thousand, six hundred".