3400037889600 has 1344 divisors, whose sum is σ = 13495680221184. Its totient is φ = 739737600000.

The previous prime is 3400037889557. The next prime is 3400037889629. The reversal of 3400037889600 is 69887300043.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3400037889600.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1975616740 + ... + 1975618460.

It is an arithmetic number, because the mean of its divisors is an integer number (10041428736).

Almost surely, 2^{3400037889600} is an apocalyptic number.

3400037889600 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 3400037889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6747840110592).

3400037889600 is an abundant number, since it is smaller than the sum of its proper divisors (10095642331584).

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

3400037889600 is a wasteful number, since it uses less digits than its factorization.

3400037889600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 3400037889600 in words is "three trillion, four hundred billion, thirty-seven million, eight hundred eighty-nine thousand, six hundred".