3414777072 has 120 divisors (see below), whose sum is σ = 10430417232. Its totient is φ = 959616000.

The previous prime is 3414777059. The next prime is 3414777073. The reversal of 3414777072 is 2707774143.

3414777072 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414777073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131572 + ... + 155372.

Almost surely, 2^3414777072 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 3414777072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5215208616).

3414777072 is an abundant number, since it is smaller than the sum of its proper divisors (7015640160).

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

3414777072 is a wasteful number, since it uses less digits than its factorization.

3414777072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23887 (or 23874 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 42.

The square root of 3414777072 is about 58436.0939146346. The cubic root of 3414777072 is about 1505.8698991153.

The spelling of 3414777072 in words is "three billion, four hundred fourteen million, seven hundred seventy-seven thousand, seventy-two".