3376532952000 has 560 divisors, whose sum is σ = 13452265899072. Its totient is φ = 831144499200.

The previous prime is 3376532951959. The next prime is 3376532952041. The reversal of 3376532952000 is 2592356733.

3376532952000 is a `hidden beast` number, since 3 + 3 + 7 + 6 + 532 + 95 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3376532951959) and next prime (3376532952041).

It is a super-2 number, since 2×3376532952000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8223589 + ... + 8624411.

Almost surely, 2^{3376532952000} is an apocalyptic number.

3376532952000 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 3376532952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6726132949536).

3376532952000 is an abundant number, since it is smaller than the sum of its proper divisors (10075732947072).

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

3376532952000 is a wasteful number, since it uses less digits than its factorization.

3376532952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400875 (or 400846 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The spelling of 3376532952000 in words is "three trillion, three hundred seventy-six billion, five hundred thirty-two million, nine hundred fifty-two thousand".