3483751040 has 192 divisors, whose sum is σ = 10569852000. Its totient is φ = 1085736960.

The previous prime is 3483751031. The next prime is 3483751057. The reversal of 3483751040 is 401573843.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339911 + ... + 350009.

Almost surely, 2^3483751040 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 3483751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5284926000).

3483751040 is an abundant number, since it is smaller than the sum of its proper divisors (7086100960).

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

3483751040 is a wasteful number, since it uses less digits than its factorization.

3483751040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10143 (or 10124 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 3483751040 is about 59023.3092938713. The cubic root of 3483751040 is about 1515.9412494086.

The spelling of 3483751040 in words is "three billion, four hundred eighty-three million, seven hundred fifty-one thousand, forty".