3412154880 has 480 divisors, whose sum is σ = 12685330944. Its totient is φ = 845611008.

The previous prime is 3412154873. The next prime is 3412154923. The reversal of 3412154880 is 884512143.

3412154880 is a `hidden beast` number, since 34 + 1 + 2 + 1 + 548 + 80 = 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24906172 + ... + 24906308.

Almost surely, 2^3412154880 is an apocalyptic number.

3412154880 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 3412154880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6342665472).

3412154880 is an abundant number, since it is smaller than the sum of its proper divisors (9273176064).

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

3412154880 is a wasteful number, since it uses less digits than its factorization.

3412154880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 3412154880 is about 58413.6531985460. The cubic root of 3412154880 is about 1505.4843501638.

The spelling of 3412154880 in words is "three billion, four hundred twelve million, one hundred fifty-four thousand, eight hundred eighty".