3534857040 has 320 divisors, whose sum is σ = 12991168512. Its totient is φ = 783820800.

The previous prime is 3534857017. The next prime is 3534857059. The reversal of 3534857040 is 407584353.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 3534857040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4358235 + ... + 4359045.

Almost surely, 2^3534857040 is an apocalyptic number.

3534857040 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 3534857040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6495584256).

3534857040 is an abundant number, since it is smaller than the sum of its proper divisors (9456311472).

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

3534857040 is a wasteful number, since it uses less digits than its factorization.

3534857040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The square root of 3534857040 is about 59454.6637363294. The cubic root of 3534857040 is about 1523.3181551774.

It can be divided in two parts, 35 and 34857040, that added together give a triangular number (34857075 = T₈₃₄₉).

The spelling of 3534857040 in words is "three billion, five hundred thirty-four million, eight hundred fifty-seven thousand, forty".