3457641000 has 256 divisors, whose sum is σ = 12177734400. Its totient is φ = 809088000.

The previous prime is 3457640981. The next prime is 3457641007. The reversal of 3457641000 is 1467543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3457641007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 955194 + ... + 958806.

It is an arithmetic number, because the mean of its divisors is an integer number (47569275).

Almost surely, 2^3457641000 is an apocalyptic number.

3457641000 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 3457641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6088867200).

3457641000 is an abundant number, since it is smaller than the sum of its proper divisors (8720093400).

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

3457641000 is a wasteful number, since it uses less digits than its factorization.

3457641000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677 (or 3663 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 3457641000 is about 58801.7091588331. The cubic root of 3457641000 is about 1512.1445195139.

The spelling of 3457641000 in words is "three billion, four hundred fifty-seven million, six hundred forty-one thousand".