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3995680000 = 28541317113
BaseRepresentation
bin1110111000101001…
…0011110100000000
3101022110120120112011
43232022103310000
531140343230000
61500253142304
7201005501554
oct35612236400
911273516464
103995680000
111770503584
1293618a994
134b8a6b2c0
1429c94b864
15185bc02ba
hexee293d00

3995680000 has 360 divisors, whose sum is σ = 11465086248. Its totient is φ = 1376256000.

The previous prime is 3995679997. The next prime is 3995680033. The reversal of 3995680000 is 865993.

It can be written as a sum of positive squares in 20 ways, for example, as 3721976064 + 273703936 = 61008^2 + 16544^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35359944 + ... + 35360056.

Almost surely, 23995680000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3995680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5732543124).

3995680000 is an abundant number, since it is smaller than the sum of its proper divisors (7469406248).

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

3995680000 is a wasteful number, since it uses less digits than its factorization.

3995680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 3995680000 is about 63211.3913784533. The cubic root of 3995680000 is about 1586.8293817388.

The spelling of 3995680000 in words is "three billion, nine hundred ninety-five million, six hundred eighty thousand".