3487053600 has 432 divisors, whose sum is σ = 13454138880. Its totient is φ = 846028800.

The previous prime is 3487053599. The next prime is 3487053611. The reversal of 3487053600 is 63507843.

It is a happy number.

3487053600 is a `hidden beast` number, since 3 + 48 + 7 + 0 + 5 + 3 + 600 = 666.

3487053600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3793941 + ... + 3794859.

It is an arithmetic number, because the mean of its divisors is an integer number (31143840).

Almost surely, 2^3487053600 is an apocalyptic number.

3487053600 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 3487053600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6727069440).

3487053600 is an abundant number, since it is smaller than the sum of its proper divisors (9967085280).

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

3487053600 is a wasteful number, since it uses less digits than its factorization.

3487053600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3487053600 is about 59051.2794103566. The cubic root of 3487053600 is about 1516.4201303308.

The spelling of 3487053600 in words is "three billion, four hundred eighty-seven million, fifty-three thousand, six hundred".