3451977421200 has 1440 divisors, whose sum is σ = 15786398355840. Its totient is φ = 717196032000.

The previous prime is 3451977421199. The next prime is 3451977421309. The reversal of 3451977421200 is 21247791543.

3451977421200 is a `hidden beast` number, since 3 + 4 + 5 + 19 + 7 + 7 + 421 + 200 = 666.

It is a super-2 number, since 2×3451977421200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 471513540 + ... + 471520860.

It is an arithmetic number, because the mean of its divisors is an integer number (10962776636).

Almost surely, 2^{3451977421200} is an apocalyptic number.

3451977421200 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 3451977421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7893199177920).

3451977421200 is an abundant number, since it is smaller than the sum of its proper divisors (12334420934640).

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

3451977421200 is a wasteful number, since it uses less digits than its factorization.

3451977421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7385 (or 7349 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 3451977421200 in words is "three trillion, four hundred fifty-one billion, nine hundred seventy-seven million, four hundred twenty-one thousand, two hundred".