3487415040 has 576 divisors, whose sum is σ = 13421721600. Its totient is φ = 854654976.

The previous prime is 3487415033. The next prime is 3487415051. The reversal of 3487415040 is 405147843.

3487415040 is a `hidden beast` number, since 34 + 87 + 41 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3487415040² = 24324127322436403200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 3487414986 and 3487415004.

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, 30862024 + ... + 30862136.

It is an arithmetic number, because the mean of its divisors is an integer number (23301600).

Almost surely, 2^3487415040 is an apocalyptic number.

3487415040 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 3487415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6710860800).

3487415040 is an abundant number, since it is smaller than the sum of its proper divisors (9934306560).

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

3487415040 is a wasteful number, since it uses less digits than its factorization.

3487415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 3487415040 is about 59054.3397219883. The cubic root of 3487415040 is about 1516.4725218356.

The spelling of 3487415040 in words is "three billion, four hundred eighty-seven million, four hundred fifteen thousand, forty".