3420337892400 has 1920 divisors, whose sum is σ = 14879047680000. Its totient is φ = 734925312000.

The previous prime is 3420337892359. The next prime is 3420337892407. The reversal of 3420337892400 is 42987330243.

3420337892400 is a `hidden beast` number, since 3 + 4 + 203 + 37 + 8 + 9 + 2 + 400 = 666.

It is a super-2 number, since 2×3420337892400² (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 not an unprimeable number, because it can be changed into a prime (3420337892407) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 9527403421 + ... + 9527403779.

It is an arithmetic number, because the mean of its divisors is an integer number (7749504000).

Almost surely, 2^{3420337892400} is an apocalyptic number.

3420337892400 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 3420337892400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7439523840000).

3420337892400 is an abundant number, since it is smaller than the sum of its proper divisors (11458709787600).

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

3420337892400 is a wasteful number, since it uses less digits than its factorization.

3420337892400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 3420337892400 in words is "three trillion, four hundred twenty billion, three hundred thirty-seven million, eight hundred ninety-two thousand, four hundred".