3414148056 has 384 divisors, whose sum is σ = 11070259200. Its totient is φ = 976510080.

The previous prime is 3414148051. The next prime is 3414148081. The reversal of 3414148056 is 6508414143.

3414148056 is a `hidden beast` number, since 34 + 141 + 480 + 5 + 6 = 666.

It is a super-3 number, since 3×3414148056³ (a number of 30 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3414148056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414148051) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43217025 + ... + 43217103.

It is an arithmetic number, because the mean of its divisors is an integer number (28828800).

Almost surely, 2^3414148056 is an apocalyptic number.

3414148056 is a gapful number since it is divisible by the number (36) 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 3414148056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5535129600).

3414148056 is an abundant number, since it is smaller than the sum of its proper divisors (7656111144).

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

3414148056 is a wasteful number, since it uses less digits than its factorization.

3414148056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3414148056 is about 58430.7115821808. The cubic root of 3414148056 is about 1505.7774309583. Note that the first 3 decimals are identical.

The spelling of 3414148056 in words is "three billion, four hundred fourteen million, one hundred forty-eight thousand, fifty-six".