3452920014600 has 1152 divisors, whose sum is σ = 14443004160000. Its totient is φ = 737323776000.

The previous prime is 3452920014589. The next prime is 3452920014769. The reversal of 3452920014600 is 64100292543.

It is a happy number.

3452920014600 is a `hidden beast` number, since 3 + 4 + 5 + 29 + 20 + 0 + 1 + 4 + 600 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 555039490 + ... + 555045710.

It is an arithmetic number, because the mean of its divisors is an integer number (12537330000).

Almost surely, 2^{3452920014600} is an apocalyptic number.

3452920014600 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 3452920014600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7221502080000).

3452920014600 is an abundant number, since it is smaller than the sum of its proper divisors (10990084145400).

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

3452920014600 is a wasteful number, since it uses less digits than its factorization.

3452920014600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6324 (or 6298 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 3452920014600 in words is "three trillion, four hundred fifty-two billion, nine hundred twenty million, fourteen thousand, six hundred".