3487155840 has 512 divisors, whose sum is σ = 14288486400. Its totient is φ = 787304448.

The previous prime is 3487155839. The next prime is 3487155857. The reversal of 3487155840 is 485517843.

3487155840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3487155840² = 24320511704892211200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 15361807 + ... + 15362033.

It is an arithmetic number, because the mean of its divisors is an integer number (27907200).

Almost surely, 2^3487155840 is an apocalyptic number.

3487155840 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 3487155840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7144243200).

3487155840 is an abundant number, since it is smaller than the sum of its proper divisors (10801330560).

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

3487155840 is a wasteful number, since it uses less digits than its factorization.

3487155840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 3487155840 is about 59052.1450922826. The cubic root of 3487155840 is about 1516.4349506057.

The spelling of 3487155840 in words is "three billion, four hundred eighty-seven million, one hundred fifty-five thousand, eight hundred forty".