3487457640000 has 280 divisors, whose sum is σ = 11927958831360. Its totient is φ = 897919232000.

The previous prime is 3487457639987. The next prime is 3487457640013. The reversal of 3487457640000 is 467547843.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3487457639987) and next prime (3487457640013).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2978929 + ... + 3981071.

Almost surely, 2^{3487457640000} is an apocalyptic number.

3487457640000 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 3487457640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5963979415680).

3487457640000 is an abundant number, since it is smaller than the sum of its proper divisors (8440501191360).

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

3487457640000 is a wasteful number, since it uses less digits than its factorization.

3487457640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002207 (or 1002182 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 3487457640000 in words is "three trillion, four hundred eighty-seven billion, four hundred fifty-seven million, six hundred forty thousand".