3413740000 has 240 divisors, whose sum is σ = 9352506240. Its totient is φ = 1215680000.

The previous prime is 3413739977. The next prime is 3413740003. The reversal of 3413740000 is 473143.

It is a happy number.

3413740000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413740003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12979869 + ... + 12980131.

It is an arithmetic number, because the mean of its divisors is an integer number (38968776).

Almost surely, 2^3413740000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3413740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4676253120).

3413740000 is an abundant number, since it is smaller than the sum of its proper divisors (5938766240).

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

3413740000 is a wasteful number, since it uses less digits than its factorization.

3413740000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 3413740000 is about 58427.2196839795. The cubic root of 3413740000 is about 1505.7174388328.

The spelling of 3413740000 in words is "three billion, four hundred thirteen million, seven hundred forty thousand".