3412543680 has 672 divisors, whose sum is σ = 14977872000. Its totient is φ = 693633024.

The previous prime is 3412543663. The next prime is 3412543691. The reversal of 3412543680 is 863452143.

3412543680 is a `hidden beast` number, since 3 + 41 + 254 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 7600096 + ... + 7600544.

It is an arithmetic number, because the mean of its divisors is an integer number (22288500).

Almost surely, 2^3412543680 is an apocalyptic number.

3412543680 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 3412543680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7488936000).

3412543680 is an abundant number, since it is smaller than the sum of its proper divisors (11565328320).

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

3412543680 is a wasteful number, since it uses less digits than its factorization.

3412543680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3412543680 is about 58416.9810928295. The cubic root of 3412543680 is about 1505.5415290928.

The spelling of 3412543680 in words is "three billion, four hundred twelve million, five hundred forty-three thousand, six hundred eighty".