3414781440 has 480 divisors, whose sum is σ = 13972248576. Its totient is φ = 754237440.

The previous prime is 3414781427. The next prime is 3414781451. The reversal of 3414781440 is 441874143.

It is a happy number.

3414781440 is a `hidden beast` number, since 3 + 41 + 478 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 3414781395 and 3414781404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4999339 + ... + 5000021.

Almost surely, 2^3414781440 is an apocalyptic number.

3414781440 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 3414781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6986124288).

3414781440 is an abundant number, since it is smaller than the sum of its proper divisors (10557467136).

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

3414781440 is a wasteful number, since it uses less digits than its factorization.

3414781440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 3414781440 is about 58436.1312887840. The cubic root of 3414781440 is about 1505.8705411911.

The spelling of 3414781440 in words is "three billion, four hundred fourteen million, seven hundred eighty-one thousand, four hundred forty".