3487748919408 has 320 divisors, whose sum is σ = 10835333160960. Its totient is φ = 1067781657600.

The previous prime is 3487748919379. The next prime is 3487748919427. The reversal of 3487748919408 is 8049198477843.

3487748919408 is a `hidden beast` number, since 34 + 8 + 77 + 489 + 1 + 9 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 1028529393 + ... + 1028532783.

It is an arithmetic number, because the mean of its divisors is an integer number (33860416128).

Almost surely, 2^{3487748919408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3487748919408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5417666580480).

3487748919408 is an abundant number, since it is smaller than the sum of its proper divisors (7347584241552).

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

3487748919408 is a wasteful number, since it uses less digits than its factorization.

3487748919408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4285 (or 4273 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 3487748919408 in words is "three trillion, four hundred eighty-seven billion, seven hundred forty-eight million, nine hundred nineteen thousand, four hundred eight".