3420299520000 has 1200 divisors, whose sum is σ = 13931337420000. Its totient is φ = 828887040000.

The previous prime is 3420299519993. The next prime is 3420299520017. The reversal of 3420299520000 is 259920243.

3420299520000 is a `hidden beast` number, since 3 + 42 + 0 + 2 + 99 + 520 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 1140478501 + ... + 1140481499.

It is an arithmetic number, because the mean of its divisors is an integer number (11609447850).

Almost surely, 2^{3420299520000} is an apocalyptic number.

3420299520000 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 3420299520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6965668710000).

3420299520000 is an abundant number, since it is smaller than the sum of its proper divisors (10511037900000).

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

3420299520000 is an equidigital number, since it uses as much as digits as its factorization.

3420299520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3064 (or 3020 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 3420299520000 in words is "three trillion, four hundred twenty billion, two hundred ninety-nine million, five hundred twenty thousand".